A note on Gersten's conjecture for \'etale cohomology over two-dimensional henselian regular local rings
Number Theory
2020-03-31 v2
Abstract
We show the Gersten's conjecture for \'etale cohomology over two dimensional henselian regular local rings without assuming equi-characteristic. As application, we obtain the local-global principle for Galois cohomology over mixed characteristic two-dimensional henselian local rings.
Keywords
Cite
@article{arxiv.1903.01677,
title = {A note on Gersten's conjecture for \'etale cohomology over two-dimensional henselian regular local rings},
author = {Makoto Sakagaito},
journal= {arXiv preprint arXiv:1903.01677},
year = {2020}
}
Comments
9 pages, Final version, Revised after the referee report