Poloni, Pierre-Marie (2015). A note on the stable equivalence problem. Journal of the Mathematical Society of Japan, 67(2), pp. 753-761. Project Euclid 10.2969/jmsj/06720753
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We provide counterexamples to the stable equivalence problem in every
dimension d ≥ 2. That means that we construct hypersurfaces H₁ , H₂ ⊂ C d+1 whose cylinders H₁ × C and H₂ × C are equivalent hypersurfaces in C d+2 , although H₁ and H₂ themselves are not equivalent by an automorphism of C d+1 . We also give, for every d ≥ 2, examples of two non-isomorphic algebraic varieties of dimension d which are biholomorphic.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Poloni, Pierre-Marie |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0025-5645 |
Publisher: |
Project Euclid |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
24 Jun 2016 09:55 |
Last Modified: |
05 Dec 2022 14:56 |
Publisher DOI: |
10.2969/jmsj/06720753 |
ArXiv ID: |
1308.2652v1 |
BORIS DOI: |
10.7892/boris.82553 |
URI: |
https://boris.unibe.ch/id/eprint/82553 |
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