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

Johannes Schmidt; Florian Strunk

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arXiv · 1904.02937

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

Johannes Schmidt·Florian Strunk

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Abstract

We show a conditional exactness statement for the Nisnevich Gersten complex associated to an $\mathbb{A}^1$-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 étale cohomology over a henselian discrete valuation ring with infinite residue field.

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Johannes Schmidt, Florian Strunk. 2019-04-05. A Bloch-Ogus Theorem for henselian local rings in mixed characteristic. https://arxiv.org/abs/1904.02937

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