Generalized Humbert curves

被引：0

作者：

Angel Carocca

Víctor González-Aguilera

Rubén A. Hidalgo

Rubí E. Rodríguez

机构：

[1] Pontificia Universidad Católica de Chile,Departamento de Matemáticas

[2] Universidad Técnica Federico Santa María,Departamento de Matemática

[3] Casilla,undefined

来源：

Israel Journal of Mathematics | 2008年 / 164卷

关键词：

Modulus Space; Riemann Surface; Normal Subgroup; Standard Generator; Conical Point;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this note we consider a certain class of closed Riemann surfaces which are a natural generalization of the so called classical Humbert curves. They are given by closed Riemann surfaces S admitting H ≅ ℤ2k as a group of conformal automorphisms so that S/H is an orbifold of signature (0, k + 1; 2,…, 2). The classical ones are given by k = 4. Mainly, we describe some of its generalities and provide Fuchsian, algebraic and Schottky descriptions.

引用

页码：165 / 192

页数：27

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