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A Bloch–Ogus theorem for henselian local rings in mixed characteristic

URN to cite this document:
urn:nbn:de:bvb:355-epub-538944
DOI to cite this document:
10.5283/epub.53894
Schmidt, Johannes ; Strunk, Florian
[img]License: Creative Commons Attribution 4.0
PDF - Published Version
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Date of publication of this fulltext: 08 Mar 2023 06:40


Abstract

We show a conditional exactness statement for the Nisnevich Gersten complex associated to an A1-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 étale cohomology over a henselian discrete valuation ring with infinite residue field.


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