Theta functions on the theta divisor

Details Theta functions on the theta divisor Theta functions on the theta divisor

2006-11-27

arxiv.org/abs/math/0611810v3

Rocky Mountain Jnl. Math. 40 (2010), 155--176

Mathematics

Algebraic Geometry

13 pages; section 5 contains shorter proofs

Scientific paper

We show that the gradient and the hessian of the Riemann theta function in dimension n can be combined to give a theta function of order n+1 and modular weight (n+5)/2 defined on the theta divisor. It can be seen that the zero locus of this theta function essentially gives the ramification locus of the Gauss map. For jacobians this leads to a description in terms of theta functions and their derivatives of the Weierstrass point locus on the associated Riemann surface.

Affiliated with

Also associated with

No associations

Rating

Theta functions on the theta divisor 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 Theta functions on the theta divisor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theta functions on the theta divisor will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-23546