On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms

A Riemann surface X is said to be of type (n,m) if its full automorphism group AutX is cyclic of order n and the quotient surface X/AutX has genus m. In this paper we determine necessary and sufficient conditions on the integers n,m,g and γ, where n is odd, for the existence of a Riemann surface of...

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Authors: Gamboa Mutuberria, José Manuel, Bujalance, E., Cirre, J.F., Gromadzki, G.
Format: article
Publication Date:2006
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/49928
Online Access:https://hdl.handle.net/20.500.14352/49928
Access Level:Open access
Keyword:517.547, 515.172
Riemann surface
automorphism group
Fuchsian and nec groups
symmetry
ovals
Funciones (Matemáticas)
1202 Análisis y Análisis Funcional
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network_acronym_str ES
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repository_id_str
spelling On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of AutomorphismsGamboa Mutuberria, José ManuelBujalance, E.Cirre, J.F.Gromadzki, G.517.547, 515.172Riemann surfaceautomorphism groupFuchsian and nec groupssymmetryovalsFunciones (Matemáticas)1202 Análisis y Análisis FuncionalA Riemann surface X is said to be of type (n,m) if its full automorphism group AutX is cyclic of order n and the quotient surface X/AutX has genus m. In this paper we determine necessary and sufficient conditions on the integers n,m,g and γ, where n is odd, for the existence of a Riemann surface of genus g and type (n,m) admitting a symmetry with γ ovals.Universidad Autónoma MadridUniversidad Complutense de Madrid20062006-01-0120062006-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49928reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/499282026-06-02T12:44:21Z
dc.title.none.fl_str_mv On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms
title On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms
spellingShingle On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms
Gamboa Mutuberria, José Manuel
517.547, 515.172
Riemann surface
automorphism group
Fuchsian and nec groups
symmetry
ovals
Funciones (Matemáticas)
1202 Análisis y Análisis Funcional
title_short On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms
title_full On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms
title_fullStr On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms
title_full_unstemmed On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms
title_sort On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms
dc.creator.none.fl_str_mv Gamboa Mutuberria, José Manuel
Bujalance, E.
Cirre, J.F.
Gromadzki, G.
author Gamboa Mutuberria, José Manuel
author_facet Gamboa Mutuberria, José Manuel
Bujalance, E.
Cirre, J.F.
Gromadzki, G.
author_role author
author2 Bujalance, E.
Cirre, J.F.
Gromadzki, G.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.547, 515.172
Riemann surface
automorphism group
Fuchsian and nec groups
symmetry
ovals
Funciones (Matemáticas)
1202 Análisis y Análisis Funcional
topic 517.547, 515.172
Riemann surface
automorphism group
Fuchsian and nec groups
symmetry
ovals
Funciones (Matemáticas)
1202 Análisis y Análisis Funcional
description A Riemann surface X is said to be of type (n,m) if its full automorphism group AutX is cyclic of order n and the quotient surface X/AutX has genus m. In this paper we determine necessary and sufficient conditions on the integers n,m,g and γ, where n is odd, for the existence of a Riemann surface of genus g and type (n,m) admitting a symmetry with γ ovals.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01
2006
2006-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/49928
url https://hdl.handle.net/20.500.14352/49928
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad Autónoma Madrid
publisher.none.fl_str_mv Universidad Autónoma Madrid
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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