Automorphisms of curves fixing the order two points of the Jacobian

Details Automorphisms of curves fixing the order two points of the Jacobian Automorphisms of curves fixing the order two points of the Jacobian

2008-04-10

arxiv.org/abs/0804.1599v1

Mathematics

Algebraic Geometry

Scientific paper

Let X be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic different from two. If X admits a nontrivial automorphism \sigma that fixes pointwise all the order two points of Pic}^0(X), then we prove that X is hyperelliptic with \sigma being the unique hyperelliptic involution. As a corollary, if a nontrivial automorphisms \sigma' of X fixes pointwise all the theta characteristics on X, then X is hyperelliptic with \sigma' being its hyperelliptic involution.

Affiliated with

Also associated with

No associations

Rating

Automorphisms of curves fixing the order two points of the Jacobian 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 Automorphisms of curves fixing the order two points of the Jacobian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Automorphisms of curves fixing the order two points of the Jacobian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-355337