Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2019; 56(1): 73-82

Online first article July 10, 2018      Printed January 31, 2019

https://doi.org/10.4134/BKMS.b180095

Copyright © The Korean Mathematical Society.

Extremal configurations of three or four symmetries on a Riemann surface

Ewa Koz\l owska-Walania

University of Gda\'nsk

Abstract

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We consider Riemann surfaces with three or four symmetries, assuming that they have a maximal total number of ovals and find all the possible topological types of the symmetries realizing such a configuration.

Keywords: Riemann surface, symmetry of a Riemann surface, real form, automorphisms of Riemann surface, Riemann uniformization theorem

MSC numbers: Primary 30F99, 14H37; Secondary 20F

Supported by: Supported by Polish National Sciences Center by the grant NCN 2015/17/B/ST1/03235

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