Numerical calculation of three-point branched covers of the projective line
Number Theory
2019-02-20 v3 Algebraic Geometry
Group Theory
Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.1311.2081,
title = {Numerical calculation of three-point branched covers of the projective line},
author = {Michael Klug and Michael Musty and Sam Schiavone and John Voight},
journal= {arXiv preprint arXiv:1311.2081},
year = {2019}
}
Comments
58 pages, 24 figures; referee's comments incorporated