Beispiele dreidimensionaler Hilbertscher Modulmannigfaltigkeiten von allgemeinem Typ

DOI10.1007/BF01168507zbMath0486.14009OpenAlexW42791810MaRDI QIDQ1164683

Friedrich Wilhelm Knoeller

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/154834

zbMATH Keywords

cuspsurface of general typeHilbert modular varietiestotally real number fielddefect of singularitiesnonrationality of field of meromorphic functions

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) (3)-folds (14J30) Moduli, classification: analytic theory; relations with modular forms (14J15) Global ground fields in algebraic geometry (14G25) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Local complex singularities (32S05) General theory of automorphic functions of several complex variables (32N05)

Related Items

Defect series and nonrational Hilbert modular threefolds ⋮ On the classification of Hilbert modular threefolds ⋮ Defects of cusp singularities and the classification of Hilbert modular threefolds ⋮ The arithmetic genus of Hilbert modular varieties over non-Galois cubic fields ⋮ Defects of cusp singularities ⋮ Über die Plurigeschlechter Hilbertscher Modulmannigfaltigkeiten

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