Poitou--Tate sequence for complex of tori over $p$-adic function fields
Number Theory
2019-10-25 v1
Abstract
We complete the picture of local and global arithmetic duality theorems for short complexes of finite Galois modules and tori over -adic function fields. In view of the duality theorems, we deduce a -term Poitou--Tate exact sequence which relates global Galois cohomology groups to restricted topological products of local Galois cohomology groups.
Cite
@article{arxiv.1910.11171,
title = {Poitou--Tate sequence for complex of tori over $p$-adic function fields},
author = {Yisheng Tian},
journal= {arXiv preprint arXiv:1910.11171},
year = {2019}
}