English

Vanishing thetanulls on curves with involutions

Algebraic Geometry 2012-06-26 v1

Abstract

The configuration of theta characteristics and vanishing thetanulls on a hyperelliptic curve is completely understood. We observe in this note that analogous results hold for the s-invariant theta characteristics on any curve C with an involution s . As a consequence we get examples of non hyperelliptic curves with a high number of vanishing thetanulls.

Keywords

Cite

@article{arxiv.1206.5411,
  title  = {Vanishing thetanulls on curves with involutions},
  author = {Arnaud Beauville},
  journal= {arXiv preprint arXiv:1206.5411},
  year   = {2012}
}