Compactifications of Hurwitz spaces
Algebraic Geometry
2012-06-21 v1
Abstract
We construct several modular compactifications of the Hurwitz space of genus curves expressed as -sheeted, simply branched covers of genus curves. These compactifications are obtained by allowing the branch points of the covers to collide to a variable extent. They are very well-behaved if , or if relatively few collisions are allowed. We recover as special cases the spaces of twisted admissible covers of Abramovich, Corti and Vistoli and the spaces of hyperelliptic curves of Fedorchuk.
Keywords
Cite
@article{arxiv.1206.4535,
title = {Compactifications of Hurwitz spaces},
author = {Anand Deopurkar},
journal= {arXiv preprint arXiv:1206.4535},
year = {2012}
}