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.

Full text not available from this repository.

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

Downloads: Statistics Overview

## 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 > Algebraische Geometrie (Blanc) |
---|---|

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 |

Related URLs: | |

Identification Number: | |

Last Modified: | 08 Jun 2012 06:56 |

Deposited On: | 08 Jun 2012 06:47 |

Repository Staff Only: item control page