Blanc, Jérémy.
(2008)
* On the inertia group of elliptic curves in the Cremona group of the plane.*
>>The<< Michigan mathematical journal, Vol. 56, H. 2.
pp. 315-330.

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Official URL: http://edoc.unibas.ch/dok/A5843080

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## Abstract

We study the group of birational transformations of the plane that fix (each point of) a curve of geometric genus 1. A precise description of the finite elements is given; it is shown in particular that the order is at most 6, and that if the group contains a non-trivial torsion, the fixed curve is the image of a smooth cubic by a birational transformation of the plane. We show that for a smooth cubic, the group is generated by its elements of degree 3, and prove that it contains a free product of Z/2Z, indexed by the points of the curve.

Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Algebra (Blanc) |
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UniBasel Contributors: | Blanc, Jérémy |

Item Type: | Article, refereed |

Article Subtype: | Research Article |

Publisher: | University of Michigan Press |

ISSN: | 0026-2285 |

Note: | Publication type according to Uni Basel Research Database: Journal article |

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Last Modified: | 08 Jun 2012 06:56 |

Deposited On: | 08 Jun 2012 06:47 |

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