Gersten's conjecture for commutative discrete valuation rings
K-Theory and Homology
2007-05-23 v1 Commutative Algebra
Algebraic Geometry
Abstract
The purpose of this article is to prove that Gersten's conjecture for a commutative discrete valuation ring is true. Combining with the result of \cite{GL87}, we learn that Gersten's conjecture is true if the ring is a commutative regular local, smooth over a commutative discrete valuation ring.
Cite
@article{arxiv.math/0702315,
title = {Gersten's conjecture for commutative discrete valuation rings},
author = {Satoshi Mochizuki},
journal= {arXiv preprint arXiv:math/0702315},
year = {2007}
}