Arithmetic Duality Theorems for 1-Motives
数论
2007-05-23 v3 代数几何
摘要
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.
引用
@article{arxiv.math/0304480,
title = {Arithmetic Duality Theorems for 1-Motives},
author = {David Harari and Tamas Szamuely},
journal= {arXiv preprint arXiv:math/0304480},
year = {2007}
}
备注
44 pages, LaTeX, final version. Section 5 substantially rewritten