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

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Schmidt, Johannes ; Strunk, Florian
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Date of publication of this fulltext: 08 Mar 2023 06:40

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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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