Loci of curves with subcanonical points in low genus
Algebraic Geometry
2016-02-26 v2 Dynamical Systems
Abstract
Inside the moduli space of curves of genus three with one marked point, we consider the locus of hyperelliptic curves with a marked Weierstrass point, and the locus of non-hyperelliptic curves with a marked hyperflex. These loci have codimension two. We compute the classes of their closures in the moduli space of stable curves of genus three with one marked point. Similarly, we compute the class of the closure of the locus of curves of genus four with an even theta characteristic vanishing with order three at a certain point. These loci naturally arise in the study of minimal strata of Abelian differentials.
Keywords
Cite
@article{arxiv.1501.02235,
title = {Loci of curves with subcanonical points in low genus},
author = {Dawei Chen and Nicola Tarasca},
journal= {arXiv preprint arXiv:1501.02235},
year = {2016}
}
Comments
29 pages. To appear in Mathematische Zeitschrift