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 $H_1, H_2subsetC^{d+1}$ whose cylinders $H_1timesC$ and $H_2timesC$ are equivalent hypersurfaces in $C^{d+2}$, although $H_1$ and $H_2$ themselves are not equivalent by an automorphism of $C^{d+1}$. 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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