On symmetries of compact Riemann surfaces with cyclic groups of automorphisms

被引：5

作者：

Bujalance, E.

Cirre, F. J. ^{[1
]}

Gamboa, J. M.

Gromadzki, G.

机构：

[1] Univ Nacl Educ Distancia, Fac Ciencias, Dept Matemat Fundamentales, Madrid 28040, Spain

[2] UCM, Fac Math, Dept Algebra, Madrid 28040, Spain

[3] Univ Gdansk, Inst Math, PL-80952 Gdansk, Poland

来源：

JOURNAL OF ALGEBRA | 2006年 / 301卷 / 01期

关键词：

Riemann surface; automorphism group; Fuchsian and NEC groups; symmetry; ovals;

D O I：

10.1016/j.jalgebra.2006.03.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Riemann surface X is said to be of type (n, m) if its full automorphism group Aut X is cyclic of order n and the quotient surface X/ Aut X has genus m. In this paper we determine necessary and sufficient conditions on the integers n, m, g and gamma, where n is odd, for the existence of a Riemann surface of genus g and type (n, m) admitting a symmetry with gamma ovals. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：82 / 95

页数：14

共 12 条

[1] On cyclic groups of automorphisms of Riemann surfaces [J].