Nonrational Hilbert modular threefolds

DOI10.1006/jnth.1999.2496zbMath1005.11015OpenAlexW1981113076MaRDI QIDQ1573777

Helen G. Grundman

Publication date: 9 August 2000

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2496

zbMATH Keywords

cubic fieldHilbert modular threefold

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) 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)

Related Items (1)

Hilbert modular threefolds of arithmetic genus one

Cites Work

• 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
• Some analytic bounds for zeta functions and class numbers
• On the classification of Hilbert modular threefolds
• Invariants numériques des groupes de Hilbert
• Hilbert modular surfaces
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