Anbar Meidl, Nurdagül and Tutdere, Seher (2020) On Belyi's theorems in positive characteristic. (Accepted/In Press)
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Official URL: http://dx.doi.org/10.1142/S1793042120500712
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. In particular, we provide a constructive proof for the existence of a pseudo-tame element introduced in [13], which leads to a self-contained proof for the Tame 2-Belyi Theorem. Moreover, we provide unified and simple proofs for Belyi Theorems unlike the known ones that use technical results from Algebraic Geometry.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics > QA150-272.5 Algebra |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Nurdagül Anbar Meidl |
| Date Deposited: | 12 Mar 2020 11:20 |
| Last Modified: | 26 Apr 2022 10:13 |
| URI: | https://research.sabanciuniv.edu/id/eprint/39633 |
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On Belyi's theorems in positive characteristic. (deposited 29 Jul 2019 21:29)
- On Belyi's theorems in positive characteristic. (deposited 12 Mar 2020 11:20) [Currently Displayed]
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