On the rational points of some Jacobian varieties over large algebraic number fields

DOI10.2996/KMJ/1138036119zbMath0439.14003OpenAlexW2106998009MaRDI QIDQ1142259

Hideo Imai

Publication date: 1980

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036119

zbMATH Keywords

hyperelliptic curverational pointsformal groupsJacobian varietyrational number field of maximal abelian extension

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Jacobians, Prym varieties (14H40) Formal groups, (p)-divisible groups (14L05)

Related Items (3)

Abelian geometric fundamental groups for curves over a \(p\)-adic field ⋮ On a question of Frey and Jarden about the rank of Abelian varieties ⋮ The rank of abelian varieties over infinite Galois extensions

Cites Work

• On the theory of commutative formal groups
• Approximation Theory and the Rank of Abelian Varieties Over Large Algebraic Fields

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