Generators for modules of vector-valued Picard modular forms

DOI10.1215/00277630-2324006zbMath1285.11080arXiv1202.0131OpenAlexW1988627607MaRDI QIDQ2873890

Gerard van der Geer, Fabien Cléry

Publication date: 27 January 2014

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0131

zbMATH Keywords

Picard modular form

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55)

Related Items (5)

Picard modular forms and the cohomology of local systems on a Picard modular surface ⋮ Vector-valued modular forms on a three-dimensional ball ⋮ On vector-valued automorphic forms on bounded symmetric domains ⋮ Counting curves over finite fields ⋮ Siegel modular forms of genus 2 and level 2

Cites Work

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• On the representation of the Picard modular function by \(\theta\) constants. I-II
• On the structure of a graded ring of automorphic forms on the 2- dimensional complex ball. II
• On the structure of a graded ring of automorphic forms on the 2- dimensional complex ball
• On certain arithmetic automorphic forms for SU(1,q)
• The arithmetic of automorphic forms with respect to a unitary group
• Some computational results on Hecke eigenvalues of modular forms on a unitary group
• On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces. II.
• Siegel modular forms of degree three and the cohomology of local systems
• On purely transcendental fields of automorphic functions of several variables
• Über die Anzahl der Spitzen einiger arithmetischer Untergruppen unitärer Gruppen
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123)

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