Lectures on logarithmic algebraic geometry
Author(s)
Bibliographic Information
Lectures on logarithmic algebraic geometry
(Cambridge studies in advanced mathematics, 178)
Cambridge University Press, 2018
- : hardback
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hardbackS||CSAM||178200037724370
Note
Includes bibliographical references (p. 529-533) and indexes (p. 534-539)
Description and Table of Contents
Description
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.
Table of Contents
- 1. The geometry of monoids
- 2. Sheaves of monoids
- 3. Logarithmic schemes
- 4. Differentials and smoothness
- 5. Betti and de Rham cohomology.
by "Nielsen BookData"