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

Published 23 Oct 2019 in math.NT | (1910.11171v1)

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.

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