An effective version of Belyi's theorem in positive characteristic

被引：0

作者：

Wakabayashi, Yasuhiro ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528551, Japan

来源：

JOURNAL OF NUMBER THEORY | 2022年 / 231卷

关键词：

Algebraic curve; Positive characteristic; Belyi map; Covering; COVERS;

D O I：

10.1016/j.jnt.2021.04.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of the present paper is to give an effective version of the noncritical p-tame Belyi theorem. That is to say, we compute an explicit bound on the minimal degree of tamely ramified Belyi maps in positive characteristic which are unramified at a prescribed finite set of points. (c) 2021 Elsevier Inc. All rights reserved.

引用

页码：251 / 268

页数：18

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