A Database of Belyi Maps
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.
math.NT↗
arXiv subjects
Michael Musty
Publications and source records attributed to Michael Musty.
Numerical calculation of three-point branched covers of the projective line
We exhibit a numerical method to compute three-point branched covers of the complex projective line. We develop algorithms for working explicitly with Fuchsian triangle groups and their finite index subgroups, and we use these algorithms to compute power series expansions of modular forms on these groups.
math.NT↗