Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903968 | Topology and its Applications | 2018 | 22 Pages |
Abstract
The Hurwitz problem asks which ramification data are realizable, i.e., 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
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Joachim König, Arielle Leitner, Danny Neftin,