Specializations of Finitely Generated Subgroups of Abelian Varieties

DOI10.2307/2001034zbMath0673.14016OpenAlexW4238525072MaRDI QIDQ3826682

David W. Masser

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001034

zbMATH Keywords

heightabelian varietiesMordell-Weil groupdegree

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties and schemes (14K99)

Related Items (12)

Independence of CM points in elliptic curves ⋮ On the distribution of rational points on ramified covers of abelian varieties ⋮ On some extensions of the Ailon-Rudnick theorem ⋮ A note on Siegel's lemma ⋮ On the average value of the canonical height in higher dimensional families of elliptic curves ⋮ The number of rational points on a curve of genus at least two ⋮ Heights and the specialization map for families of elliptic curves over $\mathbb {P}^n$ ⋮ Bicyclotomic polynomials and impossible intersections ⋮ Torsion anomalous points and families of elliptic curves ⋮ A consequence of the relative Bogomolov conjecture ⋮ Specialization of endomorphism rings of abelian varieties ⋮ Lifting and Elliptic Curve Discrete Logarithms

Cites Work

• Fields of large transcendence degree generated by values of elliptic functions
• Arithmetic distance functions and height functions in diophantine geometry
• On some elliptic curves defined over \(Q\) of free rank \(\geq 9\)
• Zero estimates on group varieties. I
• Equations over finite fields. An elementary approach
• Algebraic independence criteria.
• Constructions Arising from Neron's High Rank Curves
• Heights and the specialization map for families of abelian varieties.
• The Size Function on Abelian Varieties
• Problèmes arithmétique et géométriques rattachés à la notion de rang d'une courbe algébrique dans un corps

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