Uniformization of one-parametric families of complex tori

被引：4
|
作者：
Nasyrov S.R. [1 ]
机构：
[1] Kazan Federal University, ul. Kremlyovskaya 18, Kazan
来源：
Russian Mathematics | 2017年 / 61卷 / 8期
关键词：
complex torus; elliptic function; one-parametric families of meromorphic functions; ramified covering; Riemann surface; uniformization;
D O I：
10.3103/S1066369X17080047
中图分类号：
学科分类号：
摘要：
We suggest an approximate method to find an elliptic function uniformizing a compact Riemann surface of genus 1 which is given as a ramified covering of the Riemann sphere. The method is based on including the surface into a smooth one-parametric family. We deduce a system of ordinary differential equations for critical points of elliptic functions uniformizing surfaces of the family. © 2017, Allerton Press, Inc.
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页码：36 / 45
页数：9
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