English

The stable hyperelliptic locus in genus 3: An application of Porteous Formula

Algebraic Geometry 2013-10-22 v1

Abstract

We compute the class of the closure of the locus of hyperelliptic curves in the moduli space of stable genus-3 curves in terms of the tautological class λ\lambda and the boundary classes δ0\delta_0 and δ1\delta_1. The expression of this class is known, but here we compute it directly, by means of Porteous Formula, without resorting to blowups or test curves.

Keywords

Cite

@article{arxiv.1310.5561,
  title  = {The stable hyperelliptic locus in genus 3: An application of Porteous Formula},
  author = {Eduardo Esteves},
  journal= {arXiv preprint arXiv:1310.5561},
  year   = {2013}
}