Ogus Lectures on Logarithmic Algebraic Geometry

Erscheinungsjahr 2018
ISBN: 978-1-316-95356-3
Verlag: Cambridge University Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 178, 0 Seiten

Reihe: Cambridge Studies in Advanced Mathematics

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.

Autoren/Hrsg.

Ogus, Arthur

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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

Über Autor(innen)

Ogus, Arthur
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.