A new interpretation of the Shimura curve with discriminant 6 in terms of Picard modular forms
type: Item
instance of: scholarly article
title: A new interpretation of the Shimura curve with discriminant 6 in terms of Picard modular forms
zbMATH Open document ID: 1219.11092
author: Maria Petkova
author: H. Shiga
published in: Archiv der Mathematik
publication date: 2011-06-01T00:00:00Z
Mathematics Subject Classification ID: 11G18
Mathematics Subject Classification ID: 14G35
zbMATH DE Number: 5902949
zbMATH Keywords: Shimura curves
zbMATH Keywords: Picard modular forms
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: triangle groups
MaRDI profile type: Publication
full work available at URL: s00013-011-0235-4
OpenAlex ID: W2082814878
cites work: Q3864636
cites work: Equivalence problem and automorphism groups of certain compact Riemann surfaces
cites work: Q3188968
cites work: On the representation of the Picard modular function by \(\theta\) constants. I-II
cites work: On analytic families of polarized abelian varieties and automorphic functions
cites work: Arithmetic triangle groups
DOI: 10.1007/S00013-011-0235-4
Recommended article: Differential equations and expansions for quaternionic modular forms in the discriminant 6 case
Recommended article: The Shimura canonical model for the quaternion algebra of discriminant 6 on the Ihara-Kurihara conic
Recommended article: A \(p\)-adic approach to singular moduli on Shimura curves
Recommended article: Shimura class fields of Picard modular forms
Recommended article: Parametrizations of elliptic curves by Shimura curves and by classical modular curves
Recommended article: Q5148274
Recommended article: Picard–Fuchs equations for Shimura curves over Q
Recommended article: Modular Forms and Special Cycles on Shimura Curves. (AM-161)
Recommended article: p-adic modular forms of non-integral weight over Shimura curves
Recommended article: On Shimura lifting of modular forms
description: scientific article; zbMATH DE number 5902949