A remark on the rank of Jacobians of hyperelliptic curves over \({\mathbb{Q}}\) over certain elementary abelian 2-extensions

DOI10.2748/tmj/1178227925zbMath0688.14027OpenAlexW2019002457MaRDI QIDQ1263631

Jaap Top

Publication date: 1988

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227925

zbMATH Keywords

hyperelliptic curvesrank of Jacobians

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Jacobians, Prym varieties (14H40) Cyclotomic extensions (11R18)

Related Items

On a question of Frey and Jarden about the rank of Abelian varieties ⋮ Squarefree parts of polynomial values ⋮ The rank of abelian varieties over infinite Galois extensions

Cites Work

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• The Mordell-Weil rank of elliptic curves
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Problèmes arithmétique et géométriques rattachés à la notion de rang d'une courbe algébrique dans un corps