On ovals of Riemann surfaces of even genera
type: Item
instance of: scholarly article
title: On ovals of Riemann surfaces of even genera
zbMATH Open document ID: 0940.20051
DOI: 10.1023/A:1005230712627
author: G. Gromadzki
author: Milagros Izquierdo
published in: Geometriae Dedicata
publication date: 2000-07-18T00:00:00Z
review text: Using NEC groups and combinatorial methods, the authors show that three nonconjugate symmetries of a surface of even genus \(g\) have at most \(2g+3\) ovals. Besides this they show that if such a surface admits four nonconjugate symmetries then its total number of ovals does not exceed \(2g+2\). Also they prove that, for every even genus \(g\) and for surfaces with automorphism group \(D_n\times\mathbb{Z}_2\) (each \(n\) dividing \(2g\)), this bound is sharp.
Mathematics Subject Classification ID: 20H10
Mathematics Subject Classification ID: 30F10
Mathematics Subject Classification ID: 30F35
zbMATH DE Number: 1383257
zbMATH Keywords: Riemann surfaces
zbMATH Keywords: Klein surfaces
zbMATH Keywords: NEC groups
zbMATH Keywords: symmetries
zbMATH Keywords: surfaces of even genus
zbMATH Keywords: numbers of ovals
zbMATH Keywords: automorphism groups
reviewed by: Turgut Başkan
MaRDI profile type: Publication
full work available at URL: a:1005230712627
OpenAlex ID: W156013116
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description: scientific article; zbMATH DE number 1383257