Habegger, Philipp and Jones, Gareth and Masser, David.
(2016)
* Six unlikely intersection problems in search of effectivity.*
Mathematical Proceedings of the Cambridge Philosophical Society, 162 (3).
pp. 447-477.

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Official URL: http://edoc.unibas.ch/53226/

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## Abstract

We investigate four properties related to an elliptic curve Et in Legendre form with parameter t: the curve Et has complex multiplication, E−t has complex multiplication, a point on Et with abscissa 2 is of finite order, and t is a root of unity. Combining all pairs of properties leads to six problems on unlikely intersections. Using a variety of techniques we solve these problems with varying degrees of effectivity (and for three of them we even present the list of all possible t).

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

Item Type: | Article, refereed |

Article Subtype: | Research Article |

Publisher: | Cambridge University Press |

ISSN: | 0305-0041 |

e-ISSN: | 1469-8064 |

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

Identification Number: | |

Last Modified: | 30 Oct 2017 08:55 |

Deposited On: | 30 Oct 2017 08:55 |

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