On the Mordell-Weil group of certain abelian varieties defined over the rational function field

DOI10.1016/S0022-314X(05)80034-4zbMath0729.14019OpenAlexW1990015571MaRDI QIDQ805694

Fumio Hazama

Publication date: 1991

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-314x(05)80034-4

zbMATH Keywords

hyperelliptic curveJacobianrational points

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves (14H52) Jacobians, Prym varieties (14H40) Arithmetic ground fields for abelian varieties (14K15) Complex multiplication and abelian varieties (14K22)

Related Items (4)

Rational points on abelian varieties over function fields and Prym varieties ⋮ Pell equations for polynomials ⋮ The Mordell-Weil group of certain abelian varieties defined over the rational function field ⋮ The rational points on certain abelian varieties over function fields

Cites Work

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• Rational solutions of Diophantine equations isomorphic to elliptic curves with applications to complex multiplication
• Théoremes de finitude en cohomologie galoisienne

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