  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.
