On the Mordell-Weil rank of an abelian variety over a number field

DOI10.1016/0022-4049(89)90041-8zbMath0686.14025OpenAlexW2170877689MaRDI QIDQ1262359

Takeshi Ooe, Jaap Top

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90041-8

zbMATH Keywords

bound for the rank of the Mordell-Weil group

Mathematics Subject Classification ID

Rational points (14G05) Global ground fields in algebraic geometry (14G25) Algebraic theory of abelian varieties (14K05)

Related Items (4)

The number of rational points on a curve of genus at least two ⋮ Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture ⋮ Lifting and Elliptic Curve Discrete Logarithms ⋮ On the ranks of elliptic curves in families of quadratic twists over number fields

Cites Work

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• Quelques applications du théorème de densité de Chebotarev
• The rank of elliptic curves
• Arithmetic of Weil curves
• On the distribution of integer points on curves of genus zero
• Good reduction of abelian varieties

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