In mathematics, a Picard modular surface, studied by Picard (1881), is a complex surface constructed as a quotient of the unit ball in C2 by a Picard modular group. Picard modular surfaces are some of the simplest examples of Shimura varieties and are sometimes used as a test case for the general theory of Shimura varieties.
See also
Hilbert modular surface
Siegel modular variety
References
Langlands, Robert P.; Ramakrishnan, Dinakar, eds. (1992), The zeta functions of Picard modular surfaces, Montreal, QC: Univ. Montréal, ISBN 978-2-921120-08-1, MR 1155233
Picard, Émile (1881), "Sur une extension aux fonctions de deux variables du problème de Riemann relatif aux fonctions hypergéométriques", Annales Scientifiques de l'École Normale Supérieure, Série 2, 10: 305–322
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
Retrieved from "http://en.wikipedia.org/"
All text is available under the terms of the GNU Free Documentation License
