The Hilbert modular group for the field \(\mathbb Q(\sqrt{13})\)

DOI10.1007/BF01389785zbMath0366.10024MaRDI QIDQ1241771

Don Zagier, Gerard van der Geer

Publication date: 1977

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142497

Mathematics Subject Classification ID

Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Special surfaces (14J25)

Related Items (20)

Kodaira fibrations and beyond: methods for moduli theory ⋮ New canonical triple covers of surfaces ⋮ On Hilbert modular threefolds of discriminant 49 ⋮ The rings of Hilbert modular forms for \(\mathbb{Q}(\sqrt{ 29})\) and \(\mathbb{Q}(\sqrt{ 37})\) ⋮ New examples of canonical covers of degree 3 ⋮ Hecke and Sturm bounds for Hilbert modular forms over real quadratic fields ⋮ Babbage's conjecture, contact of surfaces, symmetric determinantal varieties and applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A simply connected surface of general type with \(p_ g=0\) ⋮ Surfaces whose canonical maps are of odd degrees ⋮ On manifolds homeomorphic to \({\mathbb{C}}P^ 2\#8\overline{{\mathbb{C}}P}^ 2\) ⋮ Cuspidal quintics and surfaces with , and 5-torsion ⋮ Hilbert modular forms for the field \(\mathbb Q(\sqrt 6 )\) ⋮ On the canonical map of some surfaces isogenous to a product ⋮ On the structure of a graded ring of automorphic forms on the 2- dimensional complex ball ⋮ Twisted component sums of vector-valued modular forms ⋮ L'application canonique pour les surfaces de type général ⋮ On the canonical degrees of Gorenstein threefolds of general type ⋮ Rational equivalence of zero cycles for some more surfaces with \(p_ g=0\)

Cites Work

• Hilbert modular surfaces and the classification of algebraic surfaces
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• On the values at negative integers of the zeta-function of a real quadratic field
• Hilbert modular surfaces
• On discontinuous groups operating on the product of the upper half planes
• On the coincidence of two Dirichlet series associated to cusp forms of Hecke's Neben-type and Hilbert modular forms over a real quadratic field
• Canonical models of surfaces of general type
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Hilbert modular group for the field \(\mathbb Q(\sqrt{13})\)