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

Yisheng Tian

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arXiv · 1910.11171

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

Yisheng Tian

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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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Yisheng Tian. 2019-10-23. Poitou--Tate sequence for complex of tori over $p$-adic function fields. https://arxiv.org/abs/1910.11171

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