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 |
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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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