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A Bloch-Ogus Theorem for henselian local rings in mixed characteristic (1904.02937v1)
Published 5 Apr 2019 in math.AG and math.KT
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 \'etale cohomology over a henselian discrete valuation ring with infinite residue field.
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