Embedding Degree of Hyperelliptic Curves with Complex Multiplication
Algebraic Geometry
2007-05-23 v1 Number Theory
Abstract
Consider the Jacobian of a genus two curve defined over a finite field and with complex multiplication. In this paper we show that if the l-Sylow subgroup of the Jacobian is not cyclic, then the embedding degree of the Jacobian with respect to l is one.
Cite
@article{arxiv.0705.1443,
title = {Embedding Degree of Hyperelliptic Curves with Complex Multiplication},
author = {Christian Robenhagen Ravnshoj},
journal= {arXiv preprint arXiv:0705.1443},
year = {2007}
}