Curves with only triple ramification
Algebraic Geometry
2007-05-23 v2
Abstract
I show that the set of smooth curves of genus g admitting branched coverings X->P^1 with only triple ramification points has dimension at least max(2g-3,g). In characteristic two, such curves have tame rational functions and an analog of Belyi's Theorem applies to them.
Keywords
Cite
@article{arxiv.math/0206091,
title = {Curves with only triple ramification},
author = {Stefan Schroeer},
journal= {arXiv preprint arXiv:math/0206091},
year = {2007}
}
Comments
12 pages, section on semistable reduction extended, otherwise minor changes, to appear in Ann. Inst. Fourier