On families of Riemann surfaces with automorphisms

被引：5

作者：

Izquierdo, Milagros ^{[1
]}

Reyes-Carocca, Sebastian ^{[2
]}

Rojas, Anita M. ^{[3
]}

机构：

[1] Linkopings Univ, Matemat Inst, Linkoping, Sweden

[2] Univ La Frontera, Dept Matemat & Estadist, Temuco, Chile

[3] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2021年 / 225卷 / 10期

关键词：

Riemann surfaces; Fuchsian groups; Group actions; Jacobian varieties; JACOBIAN VARIETIES; DECOMPOSITION; CURVES; NUMBER;

D O I：

10.1016/j.jpaa.2021.106704

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we determine the maximal possible order of the automorphism group of the form ag + b, where a and b are integers, of a complex three and fourdimensional family of compact Riemann surfaces of genus g, appearing for all genus. In addition, we construct and describe explicit complex three and four-dimensional families possessing these maximal numbers of automorphisms. (c) 2021 Elsevier B.V. All rights reserved.

引用

页数：21

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