Classifying (almost)-Belyi maps with Five Exceptional Points
Combinatorics
2018-06-04 v3
Abstract
We classify all rational functions whose branching pattern above {0, 1, infinity} satisfy a certain regularity condition with precisely d=5 exceptions. This work is motivated by solving second order linear differential equations, with d=5 true singularities, in terms of hypergeometric functions. A similar problem was solved for d=4 by Vidunas and Filipuk.
Cite
@article{arxiv.1604.08158,
title = {Classifying (almost)-Belyi maps with Five Exceptional Points},
author = {Mark van Hoeij and Vijay Jung Kunwar},
journal= {arXiv preprint arXiv:1604.08158},
year = {2018}
}
Comments
20 pages