Topologically singular points in the moduli space of Riemann surfaces
Algebraic Geometry
2018-11-28 v4
Abstract
In 1962 E. H. Rauch established the existence of points in the moduli space of Riemann surfaces not having a neighbourhood homeomorphic to a ball. These points are called here topologically singular. We give a different proof of the results of Rauch and also determine the topologically singular and non-singular points in the branch locus of some equisymmetric families of Riemann surfaces.
Keywords
Cite
@article{arxiv.1706.09862,
title = {Topologically singular points in the moduli space of Riemann surfaces},
author = {Antonio F. Costa and Ana M. Porto},
journal= {arXiv preprint arXiv:1706.09862},
year = {2018}
}