Dessins d'enfants for analysts
Complex Variables
2015-04-02 v1 Number Theory
Abstract
We present an algorithmic way of exactly computing Belyi functions for hypermaps and triangulations in genus 0 or 1, and the associated dessins, based on a numerical iterative approach initialized from a circle packing combined with subsequent lattice reduction. The main advantage compared to previous methods is that it is applicable to much larger graphs; we use very little algebraic geometry, and aim for this paper to be as self-contained as possible.
Cite
@article{arxiv.1504.00244,
title = {Dessins d'enfants for analysts},
author = {Vincent Beffara},
journal= {arXiv preprint arXiv:1504.00244},
year = {2015}
}