Defects of cusp singularities and the classification of Hilbert modular threefolds

DOI10.1007/BF01444605zbMath0724.14014MaRDI QIDQ2277040

Helen G. Grundman

Publication date: 1992

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

Full work available at URL: https://eudml.org/doc/164898

zbMATH Keywords

arithmetic genusdefects of cusp singularitiesnon-rational Hilbert modular threefoldplurigenera of Hilbert modular varietiestotally real cubic number field

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) (3)-folds (14J30) Modular and Shimura varieties (14G35) Global ground fields in algebraic geometry (14G25)

Cites Work

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• The arithmetic genus of Hilbert modular varieties over non-Galois cubic fields
• 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
• Decompositions of Rational Convex Polytopes
• Lattice Points and Polygonal Area

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