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

Text
1308.2652.pdf - Accepted Version Restricted to registered users only Available under License Publisher holds Copyright. Download (174kB) | Request a copy |

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) |
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## 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 |