Invariants numériques des groupes de Hilbert

DOI10.1007/BF01459845zbMath0325.12004OpenAlexW83243834MaRDI QIDQ1225081

Marie-France Vignéras

Publication date: 1977

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

Full work available at URL: https://eudml.org/doc/162910

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Global ground fields in algebraic geometry (14G25) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Totally real fields (11R80)

Related Items (12)

The Doi-Naganuma lifting of quaternary theta series ⋮ The arithmetic genus of the Hilbert modular variety and the elliptic fixed points of the Hilbert modular group ⋮ Fake quadrics from irreducible lattices acting on the product of upper half planes ⋮ On the classification of Hilbert modular threefolds ⋮ Unnamed Item ⋮ Hilbert modular varieties of Galois quartic fields ⋮ Hilbert modular threefolds of arithmetic genus one ⋮ Varieties of general type with the same Betti numbers as \(\mathbb{P}^{1}\times \mathbb{P}^{1}\times\cdots\times \mathbb{P}^{1}\) ⋮ On fundamental domains of arithmetic Fuchsian groups ⋮ The arithmetic genus of Hilbert modular varieties over non-Galois cubic fields ⋮ Nonrational Hilbert modular threefolds ⋮ On superspecial abelian surfaces and type numbers of totally definite quaternion algebras

Cites Work

• Lokale und globale Invarianten der Hilbertschen Modulgruppe
• Bestimmung der Kommensurabilitätsklasse der Hilbertschen Modulgruppe
• Die elliptischen Fixpunkte der Hilbertschen Modulgruppen
• On discontinuous groups operating on the product of the upper half planes
• Über die Erweiterungsfähigkeit der Hilbertschen Modulgruppe. (On the extendability of the Hilbert module group)
• Zur Zahlentheorie der Quaternionen-Algebren.
• Eichler Maps and Hyperbolic Fourier Expansion
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