On Belyi pairs over arbitrary fields

被引：0
|
作者：
Dremov V.A. [1 ]
Vashevnik A.M. [1 ]
机构：
[1] Moscow State University,
来源：
Journal of Mathematical Sciences | 2008年 / 149卷 / 3期
关键词：
Prime Number; Positive Characteristic; Algebraic Curve; Abstract Graph; Black Vertex;
D O I：
10.1007/s10958-008-0058-4
中图分类号：
学科分类号：
摘要：
The main goal of this article is to extend Grothendieck's dessins d'enfant theory to arbitrary fields. In this paper, the definitions of a Belyi pair in positive characteristic and primes of bad reduction are given. We consider the graph K 3,3. This abstract graph corresponds to three different dessins. For each dessin we find the Belyi pair and the positive characteristics for which this pair exists. The set of primes of bad reduction is also given. © 2008 Springer Science+Business Media, Inc.
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页码：1187 / 1190
页数：3
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