English

The Belyi degree is computable

Number Theory 2018-05-17 v2 Algebraic Geometry

Abstract

We exhibit an algorithm that, given input a curve XX over a number field, computes as output the minimal degree of a Belyi map XP1X \to \mathbb{P}^1.

Keywords

Cite

@article{arxiv.1711.00125,
  title  = {The Belyi degree is computable},
  author = {Ariyan Javanpeykar and John Voight},
  journal= {arXiv preprint arXiv:1711.00125},
  year   = {2018}
}

Comments

15 pages; improved exposition, more detailed examples

R2 v1 2026-06-22T22:32:18.631Z