Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3

We introduce an algorithm to compute the structure of the rational torsion subgroup of the Jacobian of a hyperelliptic curve of genus 3 over the rationals. We apply a Magma implementation of our algorithm to a database of curves with low discriminant due to Sutherland as well as a list of curves wit...

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Veröffentlicht in:	Research in number theory 2023-06, Vol.9 (2), Article 23
Hauptverfasser:	Müller, J. Steffen, Reitsma, Berno
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Fields (mathematics) Jacobians Magma Mathematics Mathematics and Statistics Number Theory Subgroups
Online-Zugang:	Volltext
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