Intersection numbers for quotients of the complex 2-ball and Hilbert modular forms

DOI10.1007/BF01578071zbMath0399.10030WikidataQ126200615 ScholiaQ126200615MaRDI QIDQ1254266

Stephen S. Kudla

Publication date: 1978

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

Full work available at URL: https://eudml.org/doc/142576

zbMATH Keywords

Fourier CoefficientsCohomology ClassesComplex Two-BallHilbert Modular FormIntersection Numbers

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) 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 (11)

Correspondence of modular forms to cycles associated to \(Sp(p,q)\) ⋮ Intersections of higher-weight cycles over quaternionic modular surfaces and modular forms of Nebentypus ⋮ On class number relations and intersections over function fields ⋮ Special cycles on unitary Shimura varieties. I: Unramified local theory ⋮ Harmonic forms dual to geodesic cycles in quotients of SU(p,1) ⋮ Geometric cycles, arithmetic groups and their cohomology ⋮ Algebraic cycles on Shimura varieties of orthogonal type ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On certain arithmetic automorphic forms for SU(1,q) ⋮ Theta functions defined by geodesic cycles in quotients of SU(p,1)

Cites Work

• Unnamed Item
• Unnamed Item
• On compact complex analytic surfaces. I
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• On modular forms associated with indefinite quadratic forms of signature \((2,n-2)\)
• Hilbert modular surfaces
• Arithmetic of unitary groups
• Compactification of arithmetic quotients of bounded symmetric domains
• Compact Clifford-Klein forms of symmetric spaces
• Indefinite Quaternionen und Modulfunktionen
• Indefinite quadratische Formen und Funktionentheorie. I
• On construction of holomorphic cusp forms of half integral weight
• The Parabolic Contribution to the Number of Linearly Independent Automorphic Forms on a Certain Bounded Domain

This page was built for publication: Intersection numbers for quotients of the complex 2-ball and Hilbert modular forms