A+ CATEGORY SCIENTIFIC UNIT

Uniformization of certain Shimura curves

Volume 58 / 2002

Pilar Bayer Banach Center Publications 58 (2002), 13-26 MSC: Primary 11G18; Secondary 14G35 DOI: 10.4064/bc58-0-1

Abstract

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.

Authors

  • Pilar BayerFacultat de Matemàtiques
    Universitat de Barcelona
    Gran Via de les Corts Catalanes 585
    E-08007 Barcelona, Spain
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image