Torsion points on families of products of elliptic curves

DOI10.1016/j.aim.2014.03.016zbMath1318.11075OpenAlexW2130823695MaRDI QIDQ2450100

Umberto Zannier, David W. Masser

Publication date: 16 May 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2014.03.016

zbMATH Keywords

torsionunlikely intersectionsabelian scheme

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Heights (11G50) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Algebraic theory of abelian varieties (14K05)

Related Items (19)

Torsion hypersurfaces on abelian schemes and Betti coordinates ⋮ Cyclotomic torsion points in elliptic schemes ⋮ Generalized Jacobians and Pellian polynomials ⋮ An overview on problems of unlikely intersections in families of abelian varieties ⋮ The relative Bogomolov conjecture for fibered products of elliptic curves ⋮ Simultaneously preperiodic points for families of polynomials in normal form ⋮ Greatest common divisor results on semiabelian varieties and a conjecture of Silverman ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ Quasi-adelic measures and equidistribution on ⋮ Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture ⋮ A variant of a theorem by Ailon-Rudnick for elliptic curves ⋮ Relative Manin–Mumford for Semi-Abelian Surfaces ⋮ Torsion points with multiplicatively dependent coordinates on elliptic curves ⋮ Relative Manin–Mumford in additive extensions ⋮ Density of algebraic points on Noetherian varieties ⋮ Generic rank of Betti map and unlikely intersections ⋮ A consequence of the relative Bogomolov conjecture ⋮ Impossible intersections in a Weierstrass family of elliptic curves ⋮ Point counting for foliations over number fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Torsion points on families of squares of elliptic curves
• Torsion points on families of simple abelian surfaces and Pell's equation over polynomial rings (with an appendix by E. V. Flynn)
• Torsion anomalous points and families of elliptic curves
• Rational points in periodic analytic sets and the Manin-Mumford conjecture
• Théories de Galois différentielles et transcendance
• Courbes sur une variété abélienne et points de torsion
• Points of small height on elliptic curves
• Finiteness results for multiplicatively dependent points on complex curves
• Bicyclotomic polynomials and impossible intersections
• Théorie de Hodge. II. (Hodge theory. II)
• Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
• Relative Manin–Mumford for Semi-Abelian Surfaces
• EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE
• On unlikely intersections of complex varieties with tori
• Heights and the specialization map for families of abelian varieties.
• Integer points on the dilation of a subanalytic surface

This page was built for publication: Torsion points on families of products of elliptic curves