A Bloch-Ogus Theorem for henselian local rings in mixed characteristic
Algebraic Geometry
2019-04-08 v1 K-Theory and Homology
Abstract
We show a conditional exactness statement for the Nisnevich Gersten complex associated to an -invariant cohomology theory with Nisnevich descent for smooth schemes over a Dedekind ring with only infinite residue fields. As an application we derive a Nisnevich analogue of the Bloch-Ogus theorem for \'etale cohomology over a henselian discrete valuation ring with infinite residue field.
Keywords
Cite
@article{arxiv.1904.02937,
title = {A Bloch-Ogus Theorem for henselian local rings in mixed characteristic},
author = {Johannes Schmidt and Florian Strunk},
journal= {arXiv preprint arXiv:1904.02937},
year = {2019}
}