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Arithmetic Duality Theorems for 1-Motives

David Harari·Tamas Szamuely
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Abstract

We prove several duality theorems for the Galois and etale cohomology of 1-motives defined over local and global fields and establish a 12-term Poitou-Tate type exact sequence. The results give a common generalisation and sharpening of well-known theorems by Tate on abelian varieties as well as results by Tate/Nakayama and Kottwitz on algebraic tori.

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BibTeXRIS

David Harari, Tamas Szamuely. 2004-02-02. Arithmetic Duality Theorems for 1-Motives. https://arxiv.org/abs/math/0304480

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