Triangular modular curves of low genus
Number Theory
2022-10-03 v2
Abstract
Triangular modular curves are a generalization of modular curves that arise from quotients of the upper half-plane by congruence subgroups of hyperbolic triangle groups. These curves also arise naturally as a source of Belyi maps with monodromy or . We present a computational approach to enumerate Borel-type triangular modular curves of low genus, and we carry out this enumeration for prime level and small genus.
Keywords
Cite
@article{arxiv.2203.08593,
title = {Triangular modular curves of low genus},
author = {Juanita Duque-Rosero and John Voight},
journal= {arXiv preprint arXiv:2203.08593},
year = {2022}
}