Habegger, Philipp and Jones, Gareth and Masser, David. (2017) 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) 05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Zahlentheorie (Masser) |
|---|---|
| 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: | 03 Aug 2020 15:08 |
| Deposited On: | 30 Oct 2017 08:55 |
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