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

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 $\ge \dim S\ge 1$, the Gersten complex of an essentially smooth Henselian local $S$-scheme is exact.

9 pages, version after final referee report, accepted for publication in the Pacific Journal of Mathematics

References in corpus (1)

• Nisnevich local Good compactifications