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Relative Manin-Mumford for Abelian Varieties

Masser, David. (2014) Relative Manin-Mumford for Abelian Varieties. Preprints Fachbereich Mathematik, 2014 (15).

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Abstract

With an eye or two towards applications to Pell's equation and to Davenport's work on integration of algebraic functions, Umberto Zannier and I have recently characterised torsion points on a fixed algebraic curve in a fixed abelian scheme of dimension bigger than one (when all is defined over the algebraic numbers): there are at most finitely many points provided the natural obstacles are absent. I sketch the proof as well as the applications.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Zahlentheorie (Masser)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Masser, David
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:12 May 2019 23:10
Deposited On:28 Mar 2019 09:52

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