Bilu, Yuri and Luca, Florina and Masser, David.
(2017)
* Collinear CM-points.*
Preprints Fachbereich Mathematik, 2017 (03).

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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 $(j(\tau),j(\tau^\prime))$, where $\tau, \tau^\prime \in \mathbb{H}$ 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 best possible.

Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Zahlentheorie (Masser) 12 Special Collections > Preprints Fachbereich Mathematik |
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UniBasel Contributors: | Masser, David |

Item Type: | Preprint |

Publisher: | Universität Basel |

Language: | English |

Last Modified: | 17 Apr 2019 19:58 |

Deposited On: | 28 Mar 2019 09:51 |

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