On the classification of Hilbert modular threefolds

DOI10.1007/BF02568281zbMath0742.11025OpenAlexW2043244199MaRDI QIDQ1178743

Helen G. Grundman

Publication date: 26 June 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155644

zbMATH Keywords

explicit boundsnon-rationalityclassification of Hilbert modular varietiesdiscriminant of cubic number field

Mathematics Subject Classification ID

(3)-folds (14J30) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Automorphic forms in several complex variables (32N10) 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)

Hilbert modular varieties of Galois quartic fields ⋮ Nonrational Hilbert modular threefolds

Cites Work

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• The arithmetic genus of Hilbert modular varieties over non-Galois cubic fields
• On the Kodaira dimensions of Hilbert modular varieties
• The arithmetic genus of the Hilbert modular variety and the elliptic fixed points of the Hilbert modular group
• Beispiele dreidimensionaler Hilbertscher Modulmannigfaltigkeiten von allgemeinem Typ
• Hilbert modular surfaces and the classification of algebraic surfaces
• Invariants numériques des groupes de Hilbert
• On the Kodaira dimension of the moduli space of Abelian varieties
• Hilbert modular surfaces

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