ETALE COHOMOLOGY THEORY (REVISED EDITION) (Nankai Tracts in Mathematics, 14) - Hardcover

Fu, Lei

Hardcover

ISBN 10: 9814675083 ISBN 13: 9789814675086

Publisher: World Scientific Pub Co Inc, 2015

Synopsis

Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and ℓ-adic cohomology. The prerequisites for reading this book are basic algebraic geometry and advanced commutative algebra.

About this title

Review

A very nice feature of Fu's work is the inclusion of some relevant topics, that are covered only briefly (or not at all) in other references. As is the case throughout the book, proofs are given for almost all results in these chapters. One should also remark that precise hypotheses are explicitly stated in most cases for each result. This shall prove very handy when using the book as a reference. -- Mathematical Reviews "Mathematical Reviews"

The book will certainly be very useful to anybody wishing to understand the key tools and results in tale cohomology theory, together with their proofs Any reader with adequate background and an interest in seriously studying tale cohomology will find the thoroughness of this book really useful. -- MathSciNet "MathSciNet"

Edition details

• Publisher: World Scientific Pub Co Inc
• Publication date: 2015
• ISBN 10: 9814675083
• ISBN 13: 9789814675086
• Binding: Hardcover
• Language: English
• Number of pages: 611