The fixed points of the symmetric Hilbert modular group of a real quadratic field with arbitrary discriminant

DOI10.1007/BF01475752zbMath0467.10020MaRDI QIDQ1155649

Wilfried Hausmann

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/163653

zbMATH Keywords

modular curvesisolated pointsHilbert modular surfacefixed point sets of involutionsHurwitz-Maaß extension

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) 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)

Related Items (3)

A table of the dimensions of the Hilbert modular type cusp forms for the Hurwitz-Maass extensions ⋮ Hilbert modular surfaces for square discriminants and elliptic subfields of genus 2 function fields ⋮ A table of the dimensions of the extended Hilbert modular type cusp forms

Cites Work

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• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• Arithmetisch definierte Gruppen mit Galoisoperation
• Hilbert modular surfaces
• Eigenschaften der lokalen Ringe in zweidimensionalen Spitzen
• Die elliptischen Fixpunkte der Hilbertschen Modulgruppen
• On discontinuous groups operating on the product of the upper half planes
• Die Fixpunkte der symmetrischen Hilbertschen Modulgruppe zu einem reell- quadratischen Zahlkörper mit Primzahldiskriminante. (The fixal points of the symmetric Hilbert modular group to a real-quadratic number field with prime discriminant)

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