On the rigidity of small domains
type: Item
instance of: scholarly article
title: On the rigidity of small domains
zbMATH Open document ID: 1094.13042
published in: Journal of Algebra
publication date: 2005-02-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0406412
review text: The authors show that a generalization of the conjecture known as Zariski's cancellation problem (let \(V_1\) and \(V_2\) be affine varieties over \(k\) such that \(V_1\times k^n\cong V_2\times k^n\) for some positive integer \(n\). Does it follow that \(V_1\cong V_2?)\) holds for affine curves, using invariant theory on commutative rings. Significant results on this problem were published in 1972 by \textit{S. S. Abhyankar, P. Eakin} and \textit{W. J. Heinzer} [J. Algebra 23, 310--342 (1972; Zbl 0255.13008)].
reviewed by: Jeanam Park
Mathematics Subject Classification ID: 13N15
Mathematics Subject Classification ID: 13A50
Mathematics Subject Classification ID: 14R10
Mathematics Subject Classification ID: 13B25
zbMATH DE Number: 2136960
zbMATH Keywords: AK invariant
zbMATH Keywords: locally nilpotent derivation
zbMATH Keywords: locally finite iterative higher derivation
author: Anthony J. Crachiola
author: Leonid Makar-Limanov
MaRDI profile type: Publication
OpenAlex ID: W2069673647
arXiv ID: math/0406412
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DOI: 10.1016/J.JALGEBRA.2004.09.015
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