Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves
Number Theory
2007-06-13 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.math/0703485,
title = {Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves},
author = {Christian Robenhagen Ravnshoj},
journal= {arXiv preprint arXiv:math/0703485},
year = {2007}
}
Comments
8 pages, 1 figure