Generators of Jacobians of Hyperelliptic Curves

2007/04/25 by Christian Robenhagen Ravnshoj, Ravnshoj, Christian Robenhagen
Mathematics · #14H40 (Primary) 14Q05 #94A60 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14H40 #msc:14Q05 #msc:94A60

paper · pdf · doi:10.48550/arxiv.0704.3339

6 pages

arxiv created 2007/04/25 · arxiv updated 2009/12/01

Abstract

This paper provides a probabilistic algorithm to determine generators of the m-torsion subgroup of the Jacobian of a hyperelliptic curve of genus two.

Related

• Computing isogenies between Jacobian of curves of genus 2 and 3
• Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3
• Generators of Jacobians of Genus Two Curves
• Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves
• Two-Torsion Subgroups of some Modular Jacobians