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LECTURES ON LOGARITHMIC ALGEBRAIC GEOMETRY
Título:
LECTURES ON LOGARITHMIC ALGEBRAIC GEOMETRY
Subtítulo:
Autor:
OGUS, A
Editorial:
CAMBRIDGE UNIVERSITY PRESS
Año de edición:
2018
ISBN:
978-1-107-18773-3
Páginas:
2019
84,95 €

 

Sinopsis

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.

Brings together numerous results across the field into a single, comprehensive reference
This book is accessible to readers from a wide variety of backgrounds
Includes detailed proofs and careful definitions of the main results and concepts



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.