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Note on topologically singular points in themoduli space of Riemann surfaces of genus 2

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dc.contributor.authorCosta González, Antonio Félix
dc.contributor.authorPorto Ferreira da Silva, Ana María
dc.date.accessioned2024-06-14T08:44:40Z
dc.date.available2024-06-14T08:44:40Z
dc.date.issued2019-06-20
dc.descriptionThis is the Accepted Manuscript of an article published by Springer in " Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas" on Jun 2019, available online: https://doi.org/10.1007/s13398-019-00704-6 Este es el manuscrito aceptado de un artículo publicado por Springer en "Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas" en Jun 2019, disponible en línea: https://doi.org/10.1007/s13398-019-00704-6
dc.description.abstractLet Mg be the moduli space of Riemann surfaces of genus g. Rauch (Bull Am Math Soc 68:390–394, 1962) focused his attention on and determined the so-called topological singular points ofMg: these are the points ofMg whose neighbourhoods are not homeomorphic to a ball. In a previous paper, the authors produced a topological proof for Rauch’s result for genera > 2; however, the methods used there do not apply to the genus 2 case. The only known proof for the remaining and important case, i.e., the case of singular points inM2, is to be found in an article by Igusa (Ann Math 72(3):612–649, 1960) and it lays on methods from algebraic geometry. Here, we present a topological proof for this case too.en
dc.description.versionversión final
dc.identifier.citationCosta, A.F., Porto, A.M. Note on topologically singular points in the moduli space of Riemann surfaces of genus 2. RACSAM 113, 3375–3382 (2019). https://doi.org/10.1007/s13398-019-00704-6
dc.identifier.doihttps://doi.org/10.1007/s13398-019-00704-6
dc.identifier.issn1578-7303 | eISSN 1579-1505
dc.identifier.urihttps://hdl.handle.net/20.500.14468/22648
dc.journal.titleRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
dc.journal.volume113
dc.language.isoen
dc.page.final3382
dc.page.initial3375
dc.publisherSpringer
dc.relation.centerFacultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsriemann surfaceen
dc.subject.keywordsmoduli spaceen
dc.subject.keywordsorbifolden
dc.subject.keywordsteichmüller spaceen
dc.titleNote on topologically singular points in themoduli space of Riemann surfaces of genus 2en
dc.typejournal articleen
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dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery8dbf4941-94eb-4e49-a01e-8b9c32463231
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