TL;DR
This paper systematically explores Hurwitz-Belyi maps, special covers of the projective line, showcasing diverse theoretical phenomena and computational methods through various examples.
Contribution
It provides the first systematic collection of Hurwitz-Belyi maps, illustrating their properties and computational techniques.
Findings
Diverse examples of Hurwitz-Belyi maps are presented.
Illustrates various theoretical phenomena associated with these maps.
Demonstrates computational techniques for analyzing Hurwitz-Belyi maps.
Abstract
The study of the moduli of covers of the projective line leads to the theory of Hurwitz varieties covering configuration varieties. Certain one-dimensional slices of these coverings are particularly interesting Belyi maps. We present systematic examples of such "Hurwitz-Belyi maps." Our examples illustrate a wide variety of theoretical phenomena and computational techniques.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Nonlinear Waves and Solitons