Poitou–Tate sequence for complex of tori over $p$-adic function fields

Abstract

We complete the picture of local and global arithmetic duality theorems for short complexes of őnite Galois modules and tori over p-adic function őelds. In view of the duality theorems, we deduce a 12-term PoitouśTate exact sequence which relates global Galois cohomology groups to restricted topological products of local Galois cohomology groups.