On the Belyi functions of planar circular maps

被引：0

作者：

Deryagina M.A. ^{[1
,2
]}

Mednykh A.D. ^{[3
]}

机构：

[1] Plekhanov Russian University of Economics, Moscow

[2] Sobolev Institute of Mathematics, Novosibirsk

[3] Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk

来源：

Journal of Mathematical Sciences | 2015年 / 209卷 / 2期

基金：

俄罗斯基础研究基金会;

关键词：

Rational Function; Disjoint Union; Wolfram; Galois Extension; Open Disk;

D O I：

10.1007/s10958-015-2499-x

中图分类号：

学科分类号：

摘要：

A map (S,G) is a closed Riemann surface S with an embedded graph G such that S \ G amounts to the disjoint union of connected components, called faces, each of which is homeomorphic to an open disk. The purpose of this article is to demonstrate a method of finding a Belyi function for planar circular maps and a way to plot a planar circular map by its Belyi function. Also we present a list of planar circular maps having no more than five edges, their Belyi functions, and their plots. We remark that the Belyi function for a planar circular map with E edges obtained with the help of our method is a rational function of degree E. © 2015 Springer Science+Business Media New York.

引用

页码：237 / 257

页数：20

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