English

Effective divisors in the projectivized Hodge bundle

Algebraic Geometry 2018-12-13 v1 Geometric Topology

Abstract

We compute the class of the closure of the locus of canonical divisors in the projectivization of the Hodge bundle PHg\mathbb{P}\overline{\mathcal{H}}_g over Mg\overline{\mathcal{M}}_g which have a zero at a Weierstrass point. We also show that the strata of canonical and bicanonical divisors with a double zero span extremal rays of the respective pseudoeffective cones.

Keywords

Cite

@article{arxiv.1812.05024,
  title  = {Effective divisors in the projectivized Hodge bundle},
  author = {Iulia Gheorghita},
  journal= {arXiv preprint arXiv:1812.05024},
  year   = {2018}
}
R2 v1 2026-06-23T06:40:23.685Z