English

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

K-Theory and Homology 2022-08-31 v5 Algebraic Geometry

Abstract

In this note, we consider the Gersten complex for Milnor KK-theory over a regular local Henselian domain SS and prove that in degrees dimS1\geq \dim S\geq 1, the Gersten complex of an essentially smooth Henselian local SS-scheme is exact.

Cite

@article{arxiv.2105.06962,
  title  = {A remark on Gersten complex for Milnor $K$-theory},
  author = {Rakesh Pawar},
  journal= {arXiv preprint arXiv:2105.06962},
  year   = {2022}
}

Comments

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

R2 v1 2026-06-24T02:07:27.469Z