Hilbert modular threefolds of arithmetic genus one

DOI10.1006/jnth.2001.2747zbMath1022.11022OpenAlexW1970202809MaRDI QIDQ696927

Helen G. Grundman, L. E. Lippincott

Publication date: 12 September 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2001.2747

zbMATH Keywords

Hilbert modular varietiescubic fieldsarithmetic genusnon-Galois cubic fields

Mathematics Subject Classification ID

Modular and Shimura varieties (14G35) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

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
• Hilbert modular surfaces and the classification of algebraic surfaces
• Invariants numériques des groupes de Hilbert
• Nonrational Hilbert modular threefolds
• Hilbert modular surfaces