Multi-tensors of differential forms on the Hilbert modular variety and on its subvarieties

DOI10.1007/BF01458601zbMath0576.10022OpenAlexW1998875784MaRDI QIDQ1065057

Shigeaki Tsuyumine

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164126

zbMATH Keywords

automorphism groupcongruence subgroupsHilbert modular groupHilbert modular varietyminimality propertymodular function fieldlevel onesubvarieties of general typeweights of automorphy factors

Mathematics Subject Classification ID

Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (2)

Hyperbolicity of singular spaces ⋮ Automorphy factors for a Hilbert modular group

Cites Work

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• On the Kodaira dimensions of Hilbert modular varieties
• Eine Bemerkung zur Theorie der Hilbertschen Modulmannigfaltigkeiten hoher Stufe
• Hilbert modular surfaces and the classification of algebraic surfaces
• On the Kodaira dimension of the moduli space of Abelian varieties
• Lokale und globale Invarianten der Hilbertschen Modulgruppe
• Die elliptischen Fixpunkte der Hilbertschen Modulgruppen
• On discontinuous groups operating on the product of the upper half planes
• Le problème des groupes de congruence pour \(SL_2\)
• Multiplier systems for Hilbert's and Siegel's modular groups
• Multi-tensors of differential forms on the Siegel modular variety and on its subvarieties

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