On the torsion values for sections of an elliptic scheme

DOI10.1515/crelle-2021-0056zbMath1485.14085arXiv1909.01253OpenAlexW3209439141MaRDI QIDQ2065867

Umberto Zannier, Julian Demeio, Pietro Corvaja, David W. Masser

Publication date: 13 January 2022

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01253

zbMATH Keywords

Roth's theoremelliptic surfaceo-minimalitytorsion pointscanonical heightelliptic schemeBetti map

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Heights (11G50) Arithmetic ground fields for abelian varieties (14K15) Approximation to algebraic numbers (11J68) Diophantine approximation, transcendental number theory (11J99)

Related Items (8)

Betti maps, Pell equations in polynomials and almost-Belyi maps ⋮ Singular intersections of subgroups and character varieties ⋮ Greatest common divisor results on semiabelian varieties and a conjecture of Silverman ⋮ Multiplicities of the Betti map associated to a section of an elliptic surface from a differential-geometric perspective ⋮ Finiteness criteria and uniformity of integral sections in some families of abelian varieties ⋮ 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 ⋮ Unramified sections of the Legendre scheme and modular forms

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