Algorithms and differential relations for Belyi functions
Algebraic Geometry
2013-05-31 v1
Abstract
A tool package for computing genus 0 Belyi functions is presented, including simplification routines, computation of moduli fields, decompositions, dessins d'enfant. The main algorithm for computing the Belyi functions themselves is based on implied transformations of the hypergeometric differential equation to Fuchsian equations, preferably with few singular points. This gives interesting differential relations between polynomial components of a Belyi function.
Cite
@article{arxiv.1305.7218,
title = {Algorithms and differential relations for Belyi functions},
author = {Mark van Hoeij and Raimundas Vidunas},
journal= {arXiv preprint arXiv:1305.7218},
year = {2013}
}
Comments
29 pages, 1 fugure