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On Riemann surfaces of genus g with 4g automorphisms

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dc.contributor.authorIzquierdo Barrios, Milagros
dc.contributor.authorBujalance García, Emilio
dc.contributor.authorCosta González, Antonio Félix
dc.date.accessioned2024-05-20T11:47:30Z
dc.date.available2024-05-20T11:47:30Z
dc.date.issued2016-04-01
dc.description.abstractWe determine, for all genus g 2 the Riemann surfaces of genus g with exactly 4g automorphisms. For g 6= 3; 6; 12; 15 or 30, this sur- faces form a real Riemann surface Fg in the moduli space Mg: the Riemann sphere with three punctures. We obtain the automorphism groups and extended automorphism groups of the surfaces in the fam- ily. Furthermore we determine the topological types of the real forms of real Riemann surfaces in Fg. The set of real Riemann surfaces in Fg consists of three intervals its closure in the Deligne-Mumford com- pacti cation of Mg is a closed Jordan curve. We describe the nodal surfaces that are limits of real Riemann surfaces in Fg.en
dc.description.versionversión publicada
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12558
dc.journal.titleeprint arXiv:1604.03421
dc.language.isoen
dc.relation.centerFacultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Internacional
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject.keywordsgeometría
dc.titleOn Riemann surfaces of genus g with 4g automorphismses
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication1772da05-48c6-45eb-b4ab-0dd9a36ea3b7
relation.isAuthorOfPublication8dbf4941-94eb-4e49-a01e-8b9c32463231
relation.isAuthorOfPublication.latestForDiscovery1772da05-48c6-45eb-b4ab-0dd9a36ea3b7
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