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A note on Gersten's conjecture for étale cohomology over two-dimensional henselian regular local rings

Published 5 Mar 2019 in math.NT | (1903.01677v2)

Abstract: We show the Gersten's conjecture for \'etale cohomology over two dimensional henselian regular local rings without assuming equi-characteristic. As application, we obtain the local-global principle for Galois cohomology over mixed characteristic two-dimensional henselian local rings.

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