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Modular companions in planar one-dimensional equisymmetric strata

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dc.contributor.authorCosta González, Antonio Félix
dc.contributor.authorBroughton, S. Allen
dc.contributor.authorIzquierdo, Milagros
dc.date.accessioned2024-10-14T11:46:53Z
dc.date.available2024-10-14T11:46:53Z
dc.date.issued2025
dc.description.abstractConsider, in the moduli space of Riemann surfaces of a fixed genus, the subset of surfaces with non-trivial automorphisms. Of special interest are the numerous subsets of surfaces admitting an action of a given finite group, G, acting with a specific signature. In a previous study [6], we declared two Riemann surfaces to be modular companions if they have topologically equivalent G actions, and that their G quotients are conformally equivalent orbifolds. In this article we present a geometrically-inspired measure to decide whether two modular companions are conformally equivalent (or how different), respecting the G action. Along the way, we construct a moduli space for surfaces with the specified G action and associated equivariant tilings on these surfaces. We specifically apply the ideas to planar, finite group actions whose quotient orbifold is a sphere with four cone pointsen
dc.description.versionversión final
dc.identifier.citation-
dc.identifier.issn-
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24046
dc.journal.titleContemporary Mathematics
dc.language.isoen
dc.publisherUniversal Wiser
dc.publisherEste artículo será publicado próximamente. This article will be published soon.
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.titleModular companions in planar one-dimensional equisymmetric strataen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication8dbf4941-94eb-4e49-a01e-8b9c32463231
relation.isAuthorOfPublication.latestForDiscovery8dbf4941-94eb-4e49-a01e-8b9c32463231
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