Belyi functions of the special weighted trees of $(2,3)$-type
Algebraic Geometry
2024-01-02 v1
Abstract
In this paper we calculate the Belyi functions of the weighted trees of -type with primitive special edge rotation groups. There are 21 Galois orbits of these trees: 6 rational orbits, 12 orbits over quadratic fields, and three orbits over fields of degree 3, 4 and 6. The highest degree of the calculated Belyi function is 32. The calculations are performed using modular functions techniques.
Keywords
Cite
@article{arxiv.2401.00183,
title = {Belyi functions of the special weighted trees of $(2,3)$-type},
author = {Nikolai M. Adrianov and Alexander M. Vatuzov},
journal= {arXiv preprint arXiv:2401.00183},
year = {2024}
}