English

The rationality of ineffective spin genus-4 thetanull loci

Algebraic Geometry 2023-09-12 v1

Abstract

In this paper, we show that the divisor given by couples [C,{\theta}] where C is a curve of genus 4 with a vanishing thetanull and {\theta} is an ineffective thetacharacteristic is a rational variety. By our construction, it follows also that the analogous divisor in the Prym moduli space is rational.

Keywords

Cite

@article{arxiv.2309.05459,
  title  = {The rationality of ineffective spin genus-4 thetanull loci},
  author = {Francesco Zucconi},
  journal= {arXiv preprint arXiv:2309.05459},
  year   = {2023}
}