Uniformization of triangle modular curves.

Título inglés Uniformization of triangle modular curves.
Título español Uniformización de curvas modulares triangulares.
Autor/es Bayer, Pilar ; Travesa, Artur
Organización Fac. Mat. Univ Barcelona, Barcelona, España
Revista 0214-1493
Publicación 2007, Extra: 43-106, 29 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés 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.

[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
Clasificación UNESCO 120500
Palabras clave español Teoría de números ; Grupos fuchsianos ; Funciones modulares
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