Étale Cohomology | Agenda Bookshop Skip to content
Selected Colleen Hoover Books at €9.99c | In-store & Online
Selected Colleen Hoover Books at €9.99c | In-store & Online
A01=James S. Milne
Age Group_Uncategorized
Age Group_Uncategorized
Author_James S. Milne
automatic-update
Category1=Non-Fiction
Category=PBMW
Category=PBPH
Category=PBX
COP=United States
Delivery_Delivery within 10-20 working days
Language_English
PA=Available
Price_€50 to €100
PS=Active
softlaunch

Étale Cohomology

English

By (author): James S. Milne

One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early 1960s, he and M. Artin introduced etale cohomology in order 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. Yet until now, the work has been available only in the original massive and difficult papers. In order to provide an accessible introduction to etale cohomology, J. S. Milne offers this more elementary account covering the essential features of the theory. The author begins with a review of the basic properties of flat and etale morphisms and of the algebraic fundamental group. The next two chapters concern the basic theory of etale sheaves and elementary etale cohomology, and are 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, Professor Milne proves the fundamental theorems in etale cohomology -- those of base change, purity, Poincare duality, and the Lefschetz trace formula. He then applies these theorems to show the rationality of some very general L-series. Originally published in 1980. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. See more
Current price €54.14
Original price €56.99
Save 5%
A01=James S. MilneAge Group_UncategorizedAuthor_James S. Milneautomatic-updateCategory1=Non-FictionCategory=PBMWCategory=PBPHCategory=PBXCOP=United StatesDelivery_Delivery within 10-20 working daysLanguage_EnglishPA=AvailablePrice_€50 to €100PS=Activesoftlaunch
Delivery/Collection within 10-20 working days
Product Details
  • Weight: 454g
  • Dimensions: 152 x 229mm
  • Publication Date: 21 Mar 2017
  • Publisher: Princeton University Press
  • Publication City/Country: United States
  • Language: English
  • ISBN13: 9780691171104

About James S. Milne

J. S. Milne is Professor Emeritus of Mathematics at the University of Michigan at Ann Arbor.

Customer Reviews

Be the first to write a review
0%
(0)
0%
(0)
0%
(0)
0%
(0)
0%
(0)
We use cookies to ensure that we give you the best experience on our website. If you continue we'll assume that you are understand this. Learn more
Accept