Arithmetic Duality

Fuente: arXiv
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Autor principal: Milne, James S.
Formato: Preprint
Publicado: 2025
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author Milne, James S.
author_facet Milne, James S.
contents In the 1950s and 1960s Tate proved some duality theorems in the Galois cohomology of finite modules and abelian varieties. As for most of Tate's work this has had a profound influence on mathematics with many applications and further developments. In this article, I discuss Tate's theorems and some of these developments.
format Preprint
id arxiv_https___arxiv_org_abs_2509_13016
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Arithmetic Duality
Milne, James S.
Number Theory
Algebraic Geometry
11S25, 11G10
In the 1950s and 1960s Tate proved some duality theorems in the Galois cohomology of finite modules and abelian varieties. As for most of Tate's work this has had a profound influence on mathematics with many applications and further developments. In this article, I discuss Tate's theorems and some of these developments.
title Arithmetic Duality
topic Number Theory
Algebraic Geometry
11S25, 11G10
url https://arxiv.org/abs/2509.13016