Uniformization of certain Shimura curves

• Autorzy: Pilar Bayer
• Języki publikacji: EN

Abstrakty

EN

We present an approach to the uniformization of certain Shimura curves by means of automorphic functions, obtained by integration of non-linear differential equations. The method takes as its starting point a differential construction of the modular j-function, first worked out by R. Dedekind in 1877, and makes use of a differential operator of the third order, introduced by H. A. Schwarz in 1873.

Kategorie tematyczne

• 14G35: Modular and Shimura varieties
• 11G18: Arithmetic aspects of modular and Shimura varieties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2002
• Tom: 58
• Numer: 1
• Strony: 13-26

Daty

wydano

2002

Twórcy

autor

Pilar Bayer

• Facultat de Matemàtiques, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, E-08007 Barcelona, Spain

Identyfikatory

DOI

10.4064/bc58-0-1