Embedding Degree of Hyperelliptic Curves with Complex Multiplication

Details Embedding Degree of Hyperelliptic Curves with Complex Multiplication Embedding Degree of Hyperelliptic Curves with Complex Multiplication

2007-05-10

arxiv.org/abs/0705.1443v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

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.

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