Gluing curves of genus 1 and 2 along their 2-torsion

DOI10.1090/mcom/3627zbMath1472.14036arXiv2005.03587OpenAlexW3113779651MaRDI QIDQ4999486

Sam Schiavone, Jeroen Hanselman, Jeroen Sijsling

Publication date: 7 July 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03587

zbMATH Keywords

abelian varietiesJacobiansisogeniesgluingexplicit aspects

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Plane and space curves (14H50) Picard schemes, higher Jacobians (14K30) Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Coverings of curves, fundamental group (14H30) Analytic theory of abelian varieties; abelian integrals and differentials (14K20)

Related Items (2)

Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3 ⋮ Gluing curves of genus 1 and 2 along their 2-torsion

Uses Software

• LMFDB
• GitHub
• endomorphisms
• gluing
• curve_reconstruction

Cites Work

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• Numerical computation of endomorphism rings of Jacobians

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