On the local zeta functions of the Hilbert modular schemes

DOI10.3792/pjaa.66.195zbMath0723.11020OpenAlexW1997984048MaRDI QIDQ757461

Kazuyuki Hatada

Publication date: 1990

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.66.195

zbMATH Keywords

Hecke operatorHilbert modular grouplocal zeta functionHilbert modular variety

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) 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) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (1)

Hecke correspondence and Betti cohomology groups for smooth compactifications of Hilbert modular varieties of dimension \(\leq 3\)

Cites Work

• Correspondences for Hecke rings and (co-)homology groups on smooth compactifications of Siegel modular varieties
• On the action of Hecke rings on homology groups of smooth compactifications of Siegel modular varieties and Siegel cusp forms
• Toroidal compactification of Siegel spaces
• Siegel cusp forms as holomorphic differential forms on certain compact varieties
• On some arithmetic properties of modular forms of one and several variables
• A new compactification of the Siegel space and degeneration of Abelian varieties. II
• Correspondences for Hecke rings and \(\ell\)-adic cohomology groups on smooth compactifications of Siegel modular varieties
• Hilbert modular surfaces
• La conjecture de Weil. I
• On discontinuous groups operating on the product of the upper half planes
• Quaternäre quadratische Formen und die Riemannsche Vermutung für die Kongruenzzetafunktion
• Les Schémas de Modules de Courbes Elliptiques
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