Almost-Regular Dessins on a Sphere and Torus

Autor: König, Joachim, Leitner, Arielle, Neftin, Danny
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv