Uniformization of triangle modular curves

In the present article, we determine explicit uniformizations of modular curves attached to triangle Fuchsian groups with cusps. Their Hauptmoduln are obtained by integration of non-linear differential equations of the third order. Series expansions involving integral coefficients are calculated aro...

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Detalles Bibliográficos
Autores: Bayer i Isant, Pilar, 1946-, Travesa i Grau, Artur
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/132423
Acceso en línea:https://hdl.handle.net/2445/132423
Access Level:acceso abierto
Palabra clave:Funcions automòrfiques
Teoria de grups
Automorphic functions
Group theory
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spelling Uniformization of triangle modular curvesBayer i Isant, Pilar, 1946-Travesa i Grau, ArturFuncions automòrfiquesTeoria de grupsAutomorphic functionsGroup theoryIn the present article, we determine explicit uniformizations of modular curves attached to triangle Fuchsian groups with cusps. Their Hauptmoduln are obtained by integration of non-linear differential equations of the third order. Series expansions involving integral coefficients are calculated around the cusps as well as around the elliptic points. The method is an updated form of a differential construction of the elliptic modular function j, first performed by Dedekind in 1877. Subtle differences between automorphic functions with respect to conjugate Fuchsian groups become apparent.Universitat Autònoma de Barcelona2019201920072019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion64 p.application/pdfapplication/pdfhttps://hdl.handle.net/2445/132423Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: https://doi.org/10.5565/PUBLMAT_PJTN05_03Publicacions Matemàtiques, 2007, vol. Extra volume, p. 43-106https://doi.org/10.5565/PUBLMAT_PJTN05_03(c) Universitat Autònoma de Barcelona, 2007info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1324232026-05-29T05:05:01Z
dc.title.none.fl_str_mv Uniformization of triangle modular curves
title Uniformization of triangle modular curves
spellingShingle Uniformization of triangle modular curves
Bayer i Isant, Pilar, 1946-
Funcions automòrfiques
Teoria de grups
Automorphic functions
Group theory
title_short Uniformization of triangle modular curves
title_full Uniformization of triangle modular curves
title_fullStr Uniformization of triangle modular curves
title_full_unstemmed Uniformization of triangle modular curves
title_sort Uniformization of triangle modular curves
dc.creator.none.fl_str_mv Bayer i Isant, Pilar, 1946-
Travesa i Grau, Artur
author Bayer i Isant, Pilar, 1946-
author_facet Bayer i Isant, Pilar, 1946-
Travesa i Grau, Artur
author_role author
author2 Travesa i Grau, Artur
author2_role author
dc.subject.none.fl_str_mv Funcions automòrfiques
Teoria de grups
Automorphic functions
Group theory
topic Funcions automòrfiques
Teoria de grups
Automorphic functions
Group theory
description In the present article, we determine explicit uniformizations of modular curves attached to triangle Fuchsian groups with cusps. Their Hauptmoduln are obtained by integration of non-linear differential equations of the third order. Series expansions involving integral coefficients are calculated around the cusps as well as around the elliptic points. The method is an updated form of a differential construction of the elliptic modular function j, first performed by Dedekind in 1877. Subtle differences between automorphic functions with respect to conjugate Fuchsian groups become apparent.
publishDate 2007
dc.date.none.fl_str_mv 2007
2019
2019
2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/132423
url https://hdl.handle.net/2445/132423
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.5565/PUBLMAT_PJTN05_03
Publicacions Matemàtiques, 2007, vol. Extra volume, p. 43-106
https://doi.org/10.5565/PUBLMAT_PJTN05_03
dc.rights.none.fl_str_mv (c) Universitat Autònoma de Barcelona, 2007
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Universitat Autònoma de Barcelona, 2007
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 64 p.
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universitat Autònoma de Barcelona
publisher.none.fl_str_mv Universitat Autònoma de Barcelona
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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