2007/03/16 by Christian Robenhagen Ravnshøj, Christian Robenhagen Ravnshoj, Ravnshoj, Christian Robenhagen
Mathematics · #14H40 (Primary) 11G15 #14Q05 #94A60 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G15 #msc:14H40 #msc:14Q05 #msc:94A60
paper · pdf · doi:10.48550/arxiv.math/0703485
8 pages, 1 figure
arxiv created 2007/03/16 · openalex publication_date 2007/03/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we obtain conditions on the divisors of the group order of the Jacobian of a hyperelliptic genus 2 curve, generated by the complex multiplication method described by Weng (2003) and Gaudry (2005). Examples, where these conditions imply that the Jacobian has a large cyclic subgroup, are given.