On 2-stably isomorphic four-dimensional affine domains
type: Item
instance of: scholarly article
title: On 2-stably isomorphic four-dimensional affine domains
zbMATH Open document ID: 1448.13014
DOI: 10.1216/JCA-2018-10-2-153
author: Teruo Asanuma
author: Neena Gupta
published in: Journal of Commutative Algebra
publication date: 2018-08-14T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.jca/1534125822
review text: The author gives examples of four-dimensional semi-normal domains \(A\) and \(B\) which are finitely generated over the field \(\mathbb C\) (or \(\mathbb R\)) such that \(A[X,Y]=B[X,Y]\) but \(A[X]\not\cong B[X].\) The method is purely algebraic. The first examples of this type was given by \textit{Z. Jelonek} [Math. Ann. 344, No. 4, 769--778 (2009; Zbl 1178.14060)], (the examples of Z. Jelonek are smooth and they have dimension ten).
reviewed by: Z. Jelonek
Mathematics Subject Classification ID: 13B25
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 13F45
Mathematics Subject Classification ID: 14R10
zbMATH DE Number: 6917490
zbMATH Keywords: stable isomorphism
zbMATH Keywords: seminormal domain
zbMATH Keywords: \(K\)-groups
zbMATH Keywords: cancelation problem
MaRDI profile type: Publication
Wikidata QID: Q60395281
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OpenAlex ID: W2886365789
description: scientific article; zbMATH DE number 6917490