Chabauty-Coleman computations on rank 1 Picard curves

DOI10.1007/978-3-030-80914-0_16MaRDI QIDQ6603872

Travis Morrison, Sachi Hashimoto

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.
• Counting points on curves using a map to \(\mathbf P^1\). II.
• Sur les points rationnels des courbes algébriques de genre supérieur à l'unité.
• Counting points on curves using a map to $\mathbf {P}^1$
• GENERALIZED EXPLICIT DESCENT AND ITS APPLICATION TO CURVES OF GENUS 3
• Explicit descent in the Picard group of a cyclic cover of the projective line
• The Mordell–Weil sieve: proving non-existence of rational points on curves
• Chabauty–Coleman Experiments for Genus 3 Hyperelliptic Curves
• Picard Curves with Small Conductor
• Explicit Coleman integration for curves
• A database of nonhyperelliptic genus-3 curves over \(\mathbb{Q}\)

Related Items (1)

Square root time Coleman integration on superelliptic curves

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