Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves

Details Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves

2007-03-16

arxiv.org/abs/math/0703485v1

Mathematics

Number Theory

8 pages, 1 figure

Scientific paper

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.

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