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On $(q, n)$ -gonal pseudo-real Riemann surfaces

Ewa Tyszkowska

Institute of Mathematics, Faculty of Mathematics, Physics and Informatics, University of Gdańsk, 80-308 Gdańsk, Poland

E-mail Address: ewa.tyszkowska@mat.ug.edu.pl

https://doi.org/10.1142/S0129167X17500951Cited by:3 (Source: Crossref)

Abstract

A compact Riemann surface $X$ of genus $g$ is called pseudo-real if it admits an anticonformal automorphism but no anticonformal involution. In this paper, we study pseudo-real $(q, n)$ -gonal Riemann surfaces of genera greater or equal to two; these surfaces have anticonformal automorphisms of prime order $n$ such that the quotient spaces have genus $q$ .

Keywords:

AMSC: 30F10, 30F35, 14H55, 14H37

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