Étale Cohomology (Princeton Mathematical Series)

Synopsis

An authoritative introduction to the essential features of étale cohomologyA. Grothendieck&’s work on algebraic geometry is one of the most important mathematical achievements of the twentieth century. In the early 1960s, he and M. Artin introduced étale cohomology to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry but also in several different branches of number theory and in the representation theory of finite and p-adic groups. In this classic book, James Milne provides an invaluable introduction to étale cohomology, covering the essential features of the theory.Milne begins with a review of the basic properties of flat and étale morphisms and the algebraic fundamental group. He then turns to the basic theory of étale sheaves and elementary étale cohomology, followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Milne proves the fundamental theorems in étale cohomology—those of base change, purity, Poincaré duality, and the Lefschetz trace formula—and applies these theorems to show the rationality of some very general L-series.

Copyright:

1980

Book Details

Book Quality:

Publisher Quality

Book Size:

338 Pages

ISBN-13:

9780691273778

Related ISBNs:

9780691082387, 9780691273792, 9781400883981, 9780691171104, 9780691273785

Publisher:

Princeton University Press

Date of Addition:

04/08/25

Copyrighted By:

Princeton University PressPublished by Princeton University Press, Princeton, New JerseyIn the United Kingdom: Princeton University Press, Chichester, West Sussex

Adult content:

No

Language:

English

Has Image Descriptions:

No

Categories:

Nonfiction, Mathematics and Statistics

Submitted By:

Bookshare Staff

Usage Restrictions:

This is a copyrighted book.