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A note on the stable equivalence problem

Poloni, Pierre-Marie. (2015) A note on the stable equivalence problem. Journal of the Mathematical Society of Japan, Vol. 67 , H. 2. pp. 753-761.

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Official URL: http://edoc.unibas.ch/dok/A6263176

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Abstract

We provide counterexamples to the stable equivalence problem in every dimension dgeq2. That means that we construct hypersurfaces H1,H2subsetCd+1 whose cylinders H1timesC and H2timesC are equivalent hypersurfaces in Cd+2, although H1 and H2 themselves are not equivalent by an automorphism of Cd+1. We also give, for every dgeq2, examples of two non-isomorphic algebraic varieties of dimension d which are biholomorphic.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik
UniBasel Contributors:Poloni, Pierre-Marie
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Mathematical Society of Japan
ISSN:0025-5645
Note:Publication type according to Uni Basel Research Database: Journal article
Last Modified:06 Nov 2015 10:21
Deposited On:06 Nov 2015 10:21

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