Uniformization of certain Shimura curves
Banach Center Publications, Tome 58 (2002) no. 1, p. 13.
Voir la notice de l'article dans European Digital Mathematics Library
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.
Classification :
14G35, 11G18
Mots-clés : Shimura curves, Fuchsian differential equations, Schwarzian derivatives
Mots-clés : Shimura curves, Fuchsian differential equations, Schwarzian derivatives
@article{BCP_2002__58_1_281755, author = {Pilar Bayer}, title = {Uniformization of certain {Shimura} curves}, journal = {Banach Center Publications}, pages = {13}, publisher = {mathdoc}, volume = {58}, number = {1}, year = {2002}, zbl = {1036.11026}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/BCP_2002__58_1_281755/} }
Pilar Bayer. Uniformization of certain Shimura curves. Banach Center Publications, Tome 58 (2002) no. 1, p. 13. https://geodesic-test.mathdoc.fr/item/BCP_2002__58_1_281755/