On a theorem of Coleman

DOI10.1007/BF02567833zbMath0865.14012MaRDI QIDQ1911185

E. Victor Flynn

Publication date: 5 June 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156138

zbMATH Keywords

curve of genus 2Chabauty's theoremrank of Jacobian

Mathematics Subject Classification ID

Rational points (14G05) Jacobians, Prym varieties (14H40) Arithmetic ground fields for abelian varieties (14K15)

Related Items (1)

Non-trivial Ш in the Jacobian of an infinite family of curves of genus 2

Cites Work

• Effective Chabauty
• The arithmetic of Fermat curves
• 2-descent on the Jacobians of hyperelliptic curves
• Abelian varieties over \(p\)-adic ground fields
• The group law on the jacobian of a curve of genus 2.
• Computing the Mordell-Weil Rank of Jacobians of Curves of Genus Two
• Descent via isogeny in dimension 2
• A Curve for Which Coleman's Effective Chabauty Bound is Sharp

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