A new interpretation of the Shimura curve with discriminant 6 in terms of Picard modular forms

DOI10.1007/s00013-011-0235-4zbMath1219.11092OpenAlexW2082814878MaRDI QIDQ539987

Maria Petkova, Hironori Shiga

Publication date: 1 June 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0235-4

zbMATH Keywords

hypergeometric functionsShimura curvestriangle groupsPicard modular forms

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (4)

The Shimura canonical model for the quaternion algebra of discriminant 6 on the Ihara-Kurihara conic ⋮ Generalized Legendre curves and quaternionic multiplication ⋮ Rigorous computation of the endomorphism ring of a Jacobian ⋮ Hypergeometric functions over finite fields

Cites Work

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• On the representation of the Picard modular function by \(\theta\) constants. I-II
• Equivalence problem and automorphism groups of certain compact Riemann surfaces
• Arithmetic triangle groups
• On analytic families of polarized abelian varieties and automorphic functions

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