A Database of Belyi Maps

Abstract

We use a numerical method to compute a database of three-point branched covers of the complex projective line of small degree. We report on some interesting features of this data set, including issues of descent.

arXiv commentANTS final revision

References in corpus (5)

• Catalog of dessins d'enfants with \le 4 edges
• Gauge Theories and Dessins d'Enfants: Beyond the Torus
• Numerical calculation of three-point branched covers of the projective line
• On computing Belyi maps
• On explicit descent of marked curves and maps

Cited by in corpus (1)

• Heun functions and diagonals of rational functions (unabridged version)