Jacobians with complex multiplication

Details Jacobians with complex multiplication Jacobians with complex multiplication

2009-06-23

arxiv.org/abs/0906.4185v1

Mathematics

Algebraic Geometry

Scientific paper

We construct and study two series of curves whose Jacobians admit complex multiplication. The curves arise as quotients of Galois coverings of the projective line with Galois group metacyclic groups $G_{q,3}$ of order $3q$ with $q \equiv 1 \mod 3$ an odd prime, and $G_m$ of order $2^{m+1}$. The complex multiplications arise as quotients of double coset algebras of the Galois groups of these coverings. We work out the CM-types and show that the Jacobians are simple abelian varieties.

Affiliated with

Also associated with

No associations

Rating

Jacobians with complex multiplication does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Jacobians with complex multiplication, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Jacobians with complex multiplication will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-708145