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Six unlikely intersection problems in search of effectivity

Habegger, Philipp and Jones, Gareth and Masser, David. (2015) Six unlikely intersection problems in search of effectivity. Preprints Fachbereich Mathematik, 2015 (28).

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Official URL: https://edoc.unibas.ch/70007/

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Abstract

We investigate four properties related to an elliptic curve $E_t$ in Legendre form with parameter t: the curve $E_t$ has complex multiplication, $E_{-t}$ has complex multiplication, a point on $E_t$ 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. We solve these problems effectively and in certain cases also explicitly.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Zahlentheorie (Masser)
05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Zahlentheorie (Habegger)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Habegger, Philipp and Masser, David
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:08 May 2019 18:38
Deposited On:28 Mar 2019 09:52

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