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Arithmetic duality theorems

Author: J S Milne
Publisher: Boston : Academic Press, ©1986.
Series: Perspectives in mathematics, vol. 1.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Milne, J.S., 1942-
Arithmetic duality theorems.
Boston : Academic Press, ©1986
(OCoLC)764124364
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: J S Milne
ISBN: 0124980406 9780124980402
OCLC Number: 14356210
Description: x, 419 pages ; 24 cm.
Contents: Galois Cohomology --
Duality relative to a class formation --
Local fields --
Abelian varieties over local fields --
Global fields --
Global Euler-Poincare characteristics --
Abelian varieties over global fields --
An application to the conjecture of Birch and Swinnerton-Dyer --
Abelian class field theory, in the sense of Langlands --
Other applications --
Class field theory for function fields --
Etale Cohomology --
Local results --
Global results: preliminary calculations --
Global results: the main theorem --
Global results: complements --
Global results: abelian schemes --
Global results: singular schemes --
Global results: higher dimensions --
Flat Cohomology --
Local results: mixed characteristic, finite group schemes --
Local results: mixed characteristic, abelian varieties --
Global results: number field case --
Local results: mixed characteristic, perfect residue field --
Two exact sequences --
Local fields of characteristic p --
Local results: equicharacteristic --
Global results: curves over finite fields, finite sheaves --
Global results: curves over finite fields, Neron models --
Local results: equicharacteristic, perfect residue field --
Global results: curves over perfect fields --
Embedding finite group schemes --
Extending finite group schemes --
Biextensions and Neron models.
Series Title: Perspectives in mathematics, vol. 1.
Responsibility: J.S. Milne.
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"This volume presents for the first time complete proofs of the fundamental arithmetic duality theorems that have come to play an increasingly important role in number theory and arithmetic Read more...

 
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