Automorphism groups of real algebraic curves which are double covers of the real projective plane
type: Item
instance of: scholarly article
title: Automorphism groups of real algebraic curves which are double covers of the real projective plane
zbMATH Open document ID: 0984.14014
published in: Manuscripta Mathematica
publication date: 2002-05-04T00:00:00Z
review text: A hyperelliptic Riemann surface is a two sheeted cover of the Riemann sphere. Their automorphism groups had been classified earlier by \textit{R. Brandt} and \textit{H. Stichtenoth} [Manuscr. Math. 55, 83-92 (1986; Zbl 0588.14022)] and \textit{E. Bujalance, J. M. Gamboa} and \textit{G. Gromadzki} [Manuscr. Math. 79, No. 3-4, 267-282 (1993; Zbl 0788.30031)]. Also for some hyperelliptic Klein surfaces, i.e. two sheeted covers of either the closed disc or the real projective plane, the classification of the automorphism groups was known in the case of covers of the disc [see \textit{E. Bujalance, J. J. Etayo, J. M. Gamboa} and \textit{G. Gromadzki}, ``Automorphism groups of compact bordered Klein surfaces. A combinatorial approach'', Lect. Notes Math. 1439 (1990; Zbl 0709.14021) and \textit{E. Bujalance, J. A. Bujalance, G. Gromadzki} and \textit{E. Martinez}, in: Group theory, Proc. Conf. Pusan 1988, Lect. Notes Math. 1398, 43-51 (1989; Zbl 0682.20035)]. The present paper classifies all automorphism groups for hyperelliptic Klein surfaces being two sheeted covers of the real projective plane.
Mathematics Subject Classification ID: 14H55
Mathematics Subject Classification ID: 14H37
Mathematics Subject Classification ID: 30F50
zbMATH DE Number: 1463441
zbMATH Keywords: hyperelliptic Riemann surface
zbMATH Keywords: Klein surface
zbMATH Keywords: hyperelliptic Klein surface
zbMATH Keywords: automorphism groups
author: Francisco Javier Cirre
reviewed by: Manfred Streit
MaRDI profile type: Publication
full work available at URL: s002290050228
OpenAlex ID: W2095198149
DOI: 10.1007/S002290050228
description: scientific article; zbMATH DE number 1463441