On the number of ovals of a symmetry of a compact Riemann surface
type: Item
instance of: scholarly article
title: On the number of ovals of a symmetry of a compact Riemann surface
zbMATH Open document ID: 1172.30014
DOI: 10.4171/RMI/540
author: G. Gromadzki
author: Emilio Bujalance
author: Francisco Javier Cirre
author: Jose Manuel Gamboa
published in: Revista Matemática Iberoamericana
publication date: 2008-11-05T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmi/1218475347
full work available at URL: https://eudml.org/doc/42378
review text: Summary: Let \(X\) be a symmetric compact Riemann surface, the full group of conformal automorphisms of which is cyclic. We derive a formula for counting the number of ovals of the symmetries of \(X\) in terms of a few data of the monodromy of the covering \(X\rightarrow X/G\), where \(G=\text{Aut}^\pm X\) is the full group of conformal and anticonformal automorphisms of \(X\).
Mathematics Subject Classification ID: 30F10
Mathematics Subject Classification ID: 14H37
zbMATH DE Number: 5361867
zbMATH Keywords: Riemann surface
zbMATH Keywords: symmetries
zbMATH Keywords: ovals
MaRDI profile type: Publication
cites work: On Cyclic Groups of Automorphisms of Riemann Surfaces
cites work: Q4294405
cites work: Automorphism groups of compact bordered Klein surfaces. A combinatorial approach
cites work: On a Harnack-Natanzon theorem for the family of real forms of Riemann surfaces
cites work: On ovals on Riemann surfaces.
cites work: Q4400424
cites work: The existence of symmetric Riemann surfaces determined by cyclic groups
cites work: Q3033885
cites work: Q3919821
cites work: Q4771443
cites work: Q4854354
OpenAlex ID: W2034839653
Recommended article: ON OVALS OF NON-CONJUGATE SYMMETRIES OF RIEMANN SURFACES
Recommended article: On commutativity and ovals for a pair of symmetries of a Riemann surface
Recommended article: On ovals of Riemann surfaces of even genera
Recommended article: On ovals on Riemann surfaces.
Recommended article: Q4966557
Recommended article: Symmetries of compact Riemann surfaces
Recommended article: Symmetries of Riemann surfaces from a combinatorial point of view
Recommended article: The Picard numbers of elliptic surfaces with many symmetries
Recommended article: Generalized Hadwiger Numbers for Symmetric Ovals
Recommended article: On symmetries of \(p\)-hyperelliptic Riemann surfaces
description: scientific article; zbMATH DE number 5361867