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, 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:

24 Jun 2016 09:55

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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