Effective divisors in $\overline{\mathcal{M}}_{g,n}$ from abelian differentials
Algebraic Geometry
2016-11-28 v1 Dynamical Systems
Geometric Topology
Abstract
We compute many new classes of effective divisors in coming from the strata of abelian differentials and efficiently reproduce many known results obtained by alternate methods. Our method utilises maps between moduli spaces and the degeneration of abelian differentials.
Cite
@article{arxiv.1611.08008,
title = {Effective divisors in $\overline{\mathcal{M}}_{g,n}$ from abelian differentials},
author = {Scott Mullane},
journal= {arXiv preprint arXiv:1611.08008},
year = {2016}
}
Comments
43 pages. The second of three papers from the author's PhD thesis