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

We complete the picture of local and global arithmetic duality theorems for short complexes of finite Galois modules and tori over $p$‑adic function fields. In view of the duality theorems, we deduce a 12‑term Poitou–Tate exact sequence which relates global Galois cohomology groups to restricted topological products of local Galois cohomology groups.

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Received 14 November 2019

Accepted 25 April 2020

Published 16 August 2022