Habegger, Philipp.
(2013)
* Torsion points on elliptic curves in Weierstrass form.*
Annali della Scuola Normale di Pisa - Classe di Scienze, 12 (3).
pp. 687-715.

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Official URL: http://edoc.unibas.ch/51746/

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## Abstract

We prove that there are only finitely many complex numbers a and b with 4a3+27b2≠0 such that the three points (1,∗),(2,∗), and (3,∗) are simultaneously torsion on the elliptic curve defined in Weierstrass form by y2=x3+ax+b. This gives an affirmative answer to a question raised by Masser and Zannier. We thus confirm a special case in two dimensions of the relative Manin-Mumford Conjecture formulated by Pink and Masser-Zannier.

Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Zahlentheorie (Habegger) |
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UniBasel Contributors: | Habegger, Philipp |

Item Type: | Article, refereed |

Article Subtype: | Research Article |

Publisher: | Scuola Normale Superiore |

ISSN: | 0391-173X |

e-ISSN: | 2036-2145 |

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

Identification Number: | |

Last Modified: | 26 Jan 2018 14:29 |

Deposited On: | 26 Jan 2018 14:29 |

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