Hyperelliptic Components of the Moduli Spaces of Quadratic Differentials with Prescribed Singularities
Geometric Topology
2007-05-23 v2 Dynamical Systems
Abstract
Moduli spaces of quadratic differentials with prescribed singularities are not necessarily connected. We describe here all cases when they have a special hyperelliptic connected component. We announce the general classification theorem: up to the four exceptional cases in low genera the strata of meromorphic quadratic differentials are either connected, or have exactly two connected components, and one of the two components is hyperelliptic.
Keywords
Cite
@article{arxiv.math/0210099,
title = {Hyperelliptic Components of the Moduli Spaces of Quadratic Differentials with Prescribed Singularities},
author = {Erwan Lanneau},
journal= {arXiv preprint arXiv:math/0210099},
year = {2007}
}
Comments
references added. 23 pages, 5 figures