Arithmetic Duality Theorems for 1-Motives

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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.
44 pages, LaTeX, final version. Section 5 substantially rewritten

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Number Theory, Algebraic Geometry, 14G25, 14G20, 14K15

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http://salesiana.dossiersoluciones.com/handle/123456789/67310

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304480
 http://arxiv.org/abs/math/0304480

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arXiv