Lectures on Logarithmic Algebraic Geometry - Arthur Ogus

Lectures on Logarithmic Algebraic Geometry

(Autor)

Buch | Hardcover
558 Seiten
2018
Cambridge University Press (Verlag)
978-1-107-18773-3 (ISBN)
89,75 inkl. MwSt
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.

Arthur Ogus is Professor Emeritus of Mathematics at the University of California, Berkeley. His work focuses on arithmetic, algebraic, and logarithmic geometry. He is the author of 35 research publications, and has lectured extensively on logarithmic geometry in the USA, France, Italy, and Japan.

1. The geometry of monoids; 2. Sheaves of monoids; 3. Logarithmic schemes; 4. Differentials and smoothness; 5. Betti and de Rham cohomology.

Erscheinungsdatum
Reihe/Serie Cambridge Studies in Advanced Mathematics
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 158 x 235 mm
Gewicht 900 g
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-107-18773-7 / 1107187737
ISBN-13 978-1-107-18773-3 / 9781107187733
Zustand Neuware
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