The K-theory of strict Hensel local rings and a theorem of Suslin
type: Item
instance of: scholarly article
title: The K-theory of strict Hensel local rings and a theorem of Suslin
zbMATH Open document ID: 0577.13009
DOI: 10.1016/0022-4049(84)90037-9
author: Henri Gillet
author: Robert W. Thomason
published in: Journal of Pure and Applied Algebra
publication date: 1984-01-01T00:00:00Z
review text: The main result is a comparison theorem for K-theories: Let R be the strict Henselization of a local ring at a smooth point of a variety of finite type over a separably closed field k. Let \(n\in {\mathbb{Z}}\) be prime to char(k). Then \(K_*(k;{\mathbb{Z}}/n)\to^{\sim}K_*(R;{\mathbb{Z}}/n).\) The authors use this to give a partial confirmation of a conjecture of Quillen and Lichtenbaum in characteristic 0, which previously has been proved by Suslin in the case of positive characteristic.
Mathematics Subject Classification ID: 13D15
Mathematics Subject Classification ID: 13J15
Mathematics Subject Classification ID: 18F25
Mathematics Subject Classification ID: 13H99
zbMATH DE Number: 3922814
zbMATH Keywords: K-theory of strict Hensel local rings
zbMATH Keywords: comparison theorem for K-theories
MaRDI profile type: Publication
full work available at URL: 0022-4049(84)90037-9
OpenAlex ID: W2038028026
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description: scientific article; zbMATH DE number 3922814