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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