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A remark on Gersten complex for Milnor $K$-theory

Published 14 May 2021 in math.KT and math.AG | (2105.06962v5)

Abstract: In this note, we consider the Gersten complex for Milnor $K$-theory over a regular local Henselian domain $S$ and prove that in degrees $\geq \dim S\geq 1$, the Gersten complex of an essentially smooth Henselian local $S$-scheme is exact.

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