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Mathematical Research Letters
Volume 28 (2021)
Number 5
Poitou–Tate sequence for complex of tori over $p$-adic function fields
Pages: 1551 – 1593
DOI: https://dx.doi.org/10.4310/MRL.2021.v28.n5.a12
Author
Abstract
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.
Received 14 November 2019
Accepted 25 April 2020
Published 16 August 2022