Specializations of Finitely Generated Subgroups of Abelian Varieties

DOI10.2307/2001034zbMath0671.14021OpenAlexW4238525072MaRDI QIDQ3824518

David W. Masser

Publication date: 1989

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

zbMATH Keywords

heightMordell-Weil groupdegree

Mathematics Subject Classification ID

Rational points (14G05) Algebraic theory of abelian varieties (14K05)

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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