Bays, Martin and Habegger, Philipp.
(2015)
* A note on divisible points of curves.*
Transactions of the American Mathematical Society, 367 (2).
pp. 1313-1328.

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Official URL: http://edoc.unibas.ch/51743/

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## Abstract

Let C be an irreducible algebraic curve defined over a number field and inside an algebraic torus of dimension at least 3 . We partially answer a question posed by Levin on points on C for which a non-trivial power lies again on C . Our results have connections to Zilber's Conjecture on Intersections with Tori and yield to methods arising in transcendence theory and the theory of o-minimal structures.

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: | American Mathematical Society |

ISSN: | 0002-9947 |

e-ISSN: | 1088-6850 |

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

Identification Number: | |

Last Modified: | 25 Apr 2018 09:32 |

Deposited On: | 25 Apr 2018 09:32 |

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