English

On the Gersten conjecture for hermitian Witt groups

K-Theory and Homology 2022-01-27 v1

Abstract

We prove that the hermitian Gersten-Witt complex is exact for Azumaya algebras with involution of the first- or second kind over a regular local ring, which is essentially smooth over a field, or over a discrete valuation ring.

Cite

@article{arxiv.2201.10715,
  title  = {On the Gersten conjecture for hermitian Witt groups},
  author = {Stefan Gille and Ivan Panin},
  journal= {arXiv preprint arXiv:2201.10715},
  year   = {2022}
}
R2 v1 2026-06-24T09:02:59.377Z