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

Vista sencilla de ítem
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.provenanceMade available in DSpace on 2024-06-14T08:44:40Z (GMT). No. of bitstreams: 1 Costa_Gonzalez_Antonio_Genus2.pdf: 239327 bytes, checksum: 8369a8fa21be297b10e50186dd7fbe5a (MD5) Previous issue date: 2019-06-20en
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
dspace.entity.typePublication
relation.isAuthorOfPublication8dbf4941-94eb-4e49-a01e-8b9c32463231
relation.isAuthorOfPublication9d2429ee-9b97-4b4d-8e2a-4b7fc7f1798e
relation.isAuthorOfPublication.latestForDiscovery8dbf4941-94eb-4e49-a01e-8b9c32463231
Archivos
Bloque original
Mostrando 1 - 1 de 1
Miniatura
Nombre:
Costa_Gonzalez_Antonio_Genus2.pdf
Tamaño:
233.72 KB
Formato:
Adobe Portable Document Format
Descargar
Bloque de licencias
Mostrando 1 - 1 de 1
No hay miniatura disponible
Nombre:
license.txt
Tamaño:
3.62 KB
Formato:
Item-specific license agreed to upon submission
Descripción:
Descargar
Colecciones
Artículos y papers