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Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves

Christian Robenhagen Ravnshoj
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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.

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Christian Robenhagen Ravnshoj. 2007-03-16. Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves. https://arxiv.org/abs/math/0703485

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