On Belyi's Theorems in Positive Characteristic
Number Theory
2018-11-05 v1
Abstract
There are two types of Belyi's Theorem for curves defined over finite fields of characteristic p, namely the Wild and the Tame p-Belyi Theorems. In this paper, we discuss them in the language of function fields. We provide a self-contained proof for the Wild p-Belyi Theorem for any prime p and the Tame 2-Belyi Theorem.
Cite
@article{arxiv.1811.00773,
title = {On Belyi's Theorems in Positive Characteristic},
author = {Nurdagul Anbar and Seher Tutdere},
journal= {arXiv preprint arXiv:1811.00773},
year = {2018}
}