Overview

New Edition available hereEtale 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.

Full Product Details

Author:   Lei Fu (Tsinghua University, China)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   13
Dimensions:   Width: 15.70cm , Height: 3.80cm , Length: 22.90cm
Weight:   1.021kg
ISBN:  

9789814307727

ISBN 10:   9814307726
Pages:   624
Publication Date:   07 February 2011
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Descent Theory; Etale Morphisms and Smooth Morphisms; Etale Fundamental Groups; Group Cohomology and Galois Cohomology; Etale Cohomology; Derived Categories and Derived Functors; Base Change Theorems; Duality; Finiteness Theorems; L-Adic Cohomology.

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

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

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