Fixed Points on Asymmetric Riemann Surfaces

被引：2

作者：

Kozlowska-Walania, Ewa ^{[1
]}

Tyszkowska, Ewa ^{[1
]}

机构：

[1] Gdansk Univ, Inst Math, Fac Math Phys & Informat, PL-5780952 Gdansk, Poland

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2020年 / 17卷 / 04期

关键词：

Riemann surface; symmetry of Riemann surface; asymmetric Riemann surface; pseudo-symmetric Riemann surface; Fuchsian groups; NEC groups; fixed points on Riemann surfaces; fixed point free actions on Riemann surfaces;

D O I：

10.1007/s00009-020-01565-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study actions of cyclic groups on asymmetric Riemann surfaces for which all conformal automorphisms of prime orders have the same number of fixed points. We find the sharp upper bound on the number of points fixed by the square of an anticonformal automorphism of an asymmetric surface. Moreover, we determine the minimal genus of an asymmetric Riemann surface on which a given finite groupGacts without fixed points.

引用

页数：22

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