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

Schmidt, Johannes and Strunk, Florian (2023) A Bloch-Ogus theorem for henselian local rings in mixed characteristic. MATHEMATISCHE ZEITSCHRIFT, 303 (4): 82. ISSN 0025-5874, 1432-1823

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Abstract

We show a conditional exactness statement for the Nisnevich Gersten complex associated to an A(1)-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 & eacute;tale cohomology over a henselian discrete valuation ring with infinite residue field.

Item Type: Article
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 05 Mar 2024 11:48
Last Modified: 05 Mar 2024 11:48
URI: https://pred.uni-regensburg.de/id/eprint/59300

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