Habegger, Philipp and Jones, Gareth and Masser, David. (2016) 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) |
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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: | 30 Oct 2017 08:55 |
Deposited On: | 30 Oct 2017 08:55 |
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