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Six unlikely intersection problems in search of effectivity

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)
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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