Almost-Regular Dessins on a Sphere and Torus
Geometric Topology
2017-09-22 v2 Algebraic Geometry
Group Theory
Abstract
The Hurwitz problem asks which ramification data are realizable, that is appear as the ramification type of a covering. We use dessins d'enfant to show that families of genus 1 regular ramification data with small changes are realizable with the exception of four families which were recently shown to be nonrealizable. A similar description holds in the case of genus 0 ramification data.
Keywords
Cite
@article{arxiv.1709.06869,
title = {Almost-Regular Dessins on a Sphere and Torus},
author = {Joachim König and Arielle Leitner and Danny Neftin},
journal= {arXiv preprint arXiv:1709.06869},
year = {2017}
}