This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject's techniques and applications across a wide range of fields.
This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
Get Lectures on Logarithmic Algebraic Geometry by at the best price and quality guranteed only at Werezi Africa largest book ecommerce store. The book was published by Cambridge University Press and it has pages. Enjoy Shopping Best Offers & Deals on books Online from Werezi - Receive at your doorstep - Fast Delivery - Secure mode of Payment
