Torsion points with multiplicatively dependent coordinates on elliptic curves

DOI10.1112/blms.12363zbMath1475.11112arXiv1904.02474OpenAlexW3034174865MaRDI QIDQ5135358

Fabrizio Barroero, Min Sha

Publication date: 20 November 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02474

zbMATH Keywords

torsionelliptic curvesmultiplicative dependence

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Heights (11G50) Algebraic theory of abelian varieties (14K05) Model theory (number-theoretic aspects) (11U09)

Related Items (2)

On the properties of Northcott and Narkiewicz for elliptic curves ⋮ Greatest common divisor results on semiabelian varieties and a conjecture of Silverman

Cites Work

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• Surjectivity of Galois representations associated with quadratic \(\mathbb {Q}\)-curves
• Small height and infinite nonabelian extensions
• Rational points in periodic analytic sets and the Manin-Mumford conjecture
• Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang)
• Points of small height on elliptic curves
• Density of algebraic points on Noetherian varieties
• Effective Pila-Wilkie bounds for unrestricted Pfaffian surfaces
• On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem
• Torsion points on families of products of elliptic curves
• The rational points of a definable set
• Rational points on Grassmannians and unlikely intersections in tori
• Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
• O-minimality and certain atypical intersections
• A uniform relative Dobrowolski's lower bound over abelian extensions
• Unlikely intersections in products of families of elliptic curves and the multiplicative group
• Simultaneous Torsion in the Legendre Family
• On abelian multiplicatively dependent points on a curve in a torus
• Heights and the specialization map for families of abelian varieties.
• Algebraic integers near the unit circle
• Some Topics in Differential Algebraic Geometry I: Analytic Subgroups of Algebraic Groups
• The Manin-Mumford conjecture and the model theory of difference fields
• Linear relations in families of powers of elliptic curves

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