English

Hurwitz-Belyi Maps

Number Theory 2016-08-31 v1

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.

Keywords

Cite

@article{arxiv.1608.08302,
  title  = {Hurwitz-Belyi Maps},
  author = {David P. Roberts},
  journal= {arXiv preprint arXiv:1608.08302},
  year   = {2016}
}

Comments

An accompanying Mathematica file is available on the author's homepage

R2 v1 2026-06-22T15:34:32.813Z