Arithmetic Duality Theorems for 1-Motives
arXiv:math/0304480
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.
44 pages, LaTeX, final version. Section 5 substantially rewritten