Witt rings of fields of quotients of two-dimensional regular local rings
type: Item
instance of: scholarly article
title: Witt rings of fields of quotients of two-dimensional regular local rings
zbMATH Open document ID: 0764.11023
DOI: 10.1007/BF02571444
author: Piotr Jaworski
published in: Mathematische Zeitschrift
publication date: 1993-03-07T00:00:00Z
full work available at URL: https://eudml.org/doc/174457
review text: Let \(R\) be a regular local ring of Krull dimension two, which contains \({1\over 2}\). Let \(\overline {R}\) be its field of quotients. The aim of this paper is to show that the following sequence of Witt groups is exact: \[ 0\to W(R)@>j^*>>W(\overline{R}) @>\oplus\partial_ p>> \bigoplus_{p\in P} W(\overline {R/p}) \to W(R/m)\to 0, \] where \(j^*\) is induced by the canonical imbedding \(j: R\to\overline {R}\) and \(P\) is the set of all prime ideals of the ring \(R\) of height 1.
reviewed by: Piotr Jaworski
Mathematics Subject Classification ID: 11E81
Mathematics Subject Classification ID: 11E08
Mathematics Subject Classification ID: 13H05
zbMATH DE Number: 126411
zbMATH Keywords: Witt ring
zbMATH Keywords: exact sequence
zbMATH Keywords: regular local ring of Krull dimension two
zbMATH Keywords: Witt groups
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 126411