Article ID Journal Published Year Pages File Type
8903968 Topology and its Applications 2018 22 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Authors
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