On Riemann surfaces with non-unique cyclic trigonal morphism
type: Item
instance of: scholarly article
title: On Riemann surfaces with non-unique cyclic trigonal morphism
zbMATH Open document ID: 1137.30013
author: Antonio F. Costas
author: Milagros Izquierdo
author: Daniel Ying
published in: Manuscripta Mathematica
publication date: 2006-01-23T00:00:00Z
review text: A closed Riemann surface which can be realized as a 3-sheeted covering of the Riemann sphere is called trigonal, and such a covering will be called a trigonal morphism. If the trigonal morphism is a cyclic regular covering, the Riemann surface is called cyclic trigonal Riemann surface. Accola showed that the trigonal morphism is unique for Riemann surfaces of genus greater or equal to 5. Using the characterization of cyclic trigonality by Fuchsian groups given by the first two authors [Math. Scand. 98, No. 1, 53--68 (2006; Zbl 1138.30023)], we obtain the Riemann surfaces of low genus with non-unique trigonal morphisms.
reviewed by: Osman Bizim
Mathematics Subject Classification ID: 30F20
Mathematics Subject Classification ID: 30F15
Mathematics Subject Classification ID: 30F35
zbMATH DE Number: 5000073
zbMATH Keywords: Riemann Surface
zbMATH Keywords: Fuchsian Groups
zbMATH Keywords: covering
zbMATH Keywords: trigonal morphism
MaRDI profile type: Publication
full work available at URL: s00229-005-0593-y
OpenAlex ID: W2041021932
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DOI: 10.1007/S00229-005-0593-Y
description: scientific article; zbMATH DE number 5000073