2021
DOI: 10.48550/arxiv.2105.06962
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A remark on Gersten complex for Milnor $K$-theory

Rakesh Pawar

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

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