Bilu, Yuri and Luca, Florina and Masser, David.
(2017)
* Collinear CM-points.*
Algebra and Number Theory, 11 (5).
pp. 1047-1087.

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Official URL: https://edoc.unibas.ch/59190/

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## Abstract

André’s celebrated theorem of 1998 implies that each complex straight line Ax+By+C=0 (apart from obvious exceptions) contains at most finitely many points (j(τ),j(τ')), where τ,τ'∈H are algebraic of degree 2 We show that there are only a finite number of such lines which contain more than two such points. As there is a line through any two complex points, this is the best possible result.

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

Item Type: | Article, refereed |

Article Subtype: | Research Article |

Publisher: | Mathematical Sciences Publishers |

ISSN: | 1937-0652 |

e-ISSN: | 1944-7833 |

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

Identification Number: | |

Last Modified: | 24 Jul 2020 12:40 |

Deposited On: | 24 Jul 2020 12:40 |

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