Extremal configurations of three or four symmetries on a Riemann surface
Bull. Korean Math. Soc. 2019 Vol. 56, No. 1, 73-82
https://doi.org/10.4134/BKMS.b180095
Published online 2019 Jan 31
Ewa Koz\l owska-Walania
University of Gda\'nsk
Abstract : 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
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