Lectures on Logarithmic Algebraic Geometry

ISBN-13: 9781107187733 / Angielski / Twarda / 2018 / 558 str.

Arthur Ogus

Opis

A self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry.

Recenzje

'The book under review is a self-contained exposition of the foundations of logarithmic geometry and would serve as a standard textbook for graduate students on this subject. The approach is scheme-theoretic, therefore the reader only needs to have a basic knowledge of algebraic geometry.' Yigeng Zhao, zbMATH

Spis treści

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