scientific article

zbMath0515.10027MaRDI QIDQ3661663

Emery Thomas, A. T. Vasquez

Publication date: 1983

Full work available at URL: http://www.numdam.org/item?id=CM_1983__48_2_139_0

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zbMATH Keywords

principal congruence subgroupsreal quadratic fieldsGorenstein ringscomplete intersection ringgraded ring of Hilbert modular forms

Mathematics Subject Classification ID

Quadratic extensions (11R11) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Complete intersections (14M10) Structure of modular groups and generalizations; arithmetic groups (11F06) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (5)

Defect series and nonrational Hilbert modular threefolds ⋮ The rings of Hilbert modular forms for \(\mathbb{Q}(\sqrt{ 29})\) and \(\mathbb{Q}(\sqrt{ 37})\) ⋮ The Riemann hypothesis for period polynomials of Hilbert modular forms ⋮ Defects of cusp singularities and the classification of Hilbert modular threefolds ⋮ Defects of cusp singularities

Cites Work

• The arithmetic genus of the Hilbert modular variety and the elliptic fixed points of the Hilbert modular group
• Invariants numériques des groupes de Hilbert
• Hilbert modular forms for the field \(\mathbb Q(\sqrt 6 )\)
• The Hilbert modular group for the field \(\mathbb Q(\sqrt{13})\)
• Hilbert functions of graded algebras
• Hilbert modular surfaces
• Lokale und globale Invarianten der Hilbertschen Modulgruppe
• Die elliptischen Fixpunkte der Hilbertschen Modulgruppen
• On discontinuous groups operating on the product of the upper half planes
• The Hilbert modular surface of a real quadratic field
• Invariants of finite groups and their applications to combinatorics
• HILBERT'S MODULAR GROUP OF THE FIELD $ \mathbf Q(\sqrt 5)$ AND THE CUBIC DIAGONAL SURFACE OF CLEBSCH AND KLEIN
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