Research Catalog

Arithmetic duality theorems

Title
Arithmetic duality theorems / J.S. Milne.
Author
Milne, J. S., 1942-
Publication
Boston : Academic Press, ©1986.

Items in the Library & Off-site

Filter by

1 Item

StatusFormatAccessCall NumberItem Location
Request for On-site UseRequest Scan
How do I pick up this item and when will it be ready?
TextUse in library QA247 .M554 1986Off-site

Details

Description
x, 419 pages; 24 cm.
Series Statement
Perspectives in mathematics ; vol. 1
Uniform Title
Perspectives in mathematics ; vol. 1.
Subject
  • Algebraic fields
  • Homology theory
  • Duality theory (Mathematics)
  • Algebraic stacks
  • 31.61 algebraic topology
  • Algebraic stacks
  • Algebraic fields
  • Homology theory
  • Algebraischer Körper
  • Dualität
  • Homologietheorie
  • Dualiteit
  • Cohomologie
  • Corps algébriques
  • Homologie
  • Dualité, Principe de (mathématiques)
Note
  • Includes index.
Bibliography (note)
  • Bibliography: p. [410]-419.
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.
ISBN
  • 0124980406
  • 9780124980402
LCCN
86026451
OCLC
  • ocm14356210
  • 14356210
  • SCSB-1155315
Owning Institutions
Princeton University Library