Über die Plurigeschlechter Hilbertscher Modulmannigfaltigkeiten

DOI10.1007/BF01456951zbMath0504.14028OpenAlexW114130054MaRDI QIDQ1835719

Friedrich Wilhelm Knoeller

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163797

zbMATH Keywords

plurigenusHilbertian modular varietytotally real ground field

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) Special surfaces (14J25) Topological properties in algebraic geometry (14F45) Totally real fields (11R80)

Related Items (1)

The arithmetic genus of Hilbert modular varieties over non-Galois cubic fields

Cites Work

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• 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
• Der Körper der Siegelschen Modulfunktionen
• On the Kodaira dimension of the moduli space of Abelian varieties
• Lokale und globale Invarianten der Hilbertschen Modulgruppe
• Compactification of arithmetic quotients of bounded symmetric domains
• On discontinuous groups operating on the product of the upper half planes
• The Hilbert modular surface of a real quadratic field
• Die Kodairadimension von Körpern automorpher Funktionen.

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