Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves

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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.
8 pages, 1 figure

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Number Theory, Algebraic Geometry, 14H40 (Primary) 11G15,14Q05, 94A60 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/131406

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703485
 http://arxiv.org/abs/math/0703485

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arXiv