Torsion hypersurfaces on abelian schemes and Betti coordinates

DOI10.1007/s00208-017-1537-zzbMath1412.14029OpenAlexW2600402742MaRDI QIDQ1659907

Pietro Corvaja, Umberto Zannier, David W. Masser

Publication date: 23 August 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://edoc.unibas.ch/69948/1/2017-17-torsion-final.pdf

zbMATH Keywords

unlikely intersectionsabelian schemeZilber-Pink conjectureBetti coordinatestorsion hypersurface

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Subvarieties of abelian varieties (14K12) Algebraic theory of abelian varieties (14K05)

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Betti maps, Pell equations in polynomials and almost-Belyi maps ⋮ An overview on problems of unlikely intersections in families of abelian varieties ⋮ On the \(p\)-adic distribution of torsion values for a section of an abelian scheme ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture ⋮ Pfaffian definitions of Weierstrass elliptic functions ⋮ Generic rank of Betti map and unlikely intersections ⋮ A consequence of the relative Bogomolov conjecture ⋮ The Betti map associated to a section of an abelian scheme ⋮ Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces ⋮ On the torsion values for sections of an elliptic scheme

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