Computing rational points on rank 0 genus 3 hyperelliptic curves

DOI10.1007/978-3-030-80914-0_14MaRDI QIDQ6603870

Sachi Hashimoto, María Inés de Frutos-Fernández

Publication date: 12 September 2024

Mathematics Subject Classification ID

Arithmetic algebraic geometry (Diophantine geometry) (11Gxx) Computational number theory (11Yxx)

Cites Work

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• Torsion points on curves and p-adic abelian integrals
• Effective Chabauty
• Finiteness theorems for abelian varieties over number fields.
• The Magma algebra system. I: The user language
• Sur les points rationnels des courbes algébriques de genre supérieur à l'unité.
• A database of genus-2 curves over the rational numbers
• Chabauty–Coleman Experiments for Genus 3 Hyperelliptic Curves
• On the height constant for curves of genus two, II
• Explicit Coleman Integration for Hyperelliptic Curves
• Independence of rational points on twists of a given curve

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