Correspondence of modular forms to cycles associated to \(Sp(p,q)\)

DOI10.1007/BF01229811zbMath0608.10026OpenAlexW3013448839MaRDI QIDQ1086275

S. P. Wang

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/173799

zbMATH Keywords

theta functionslocally symmetric spacesWeil representationharmonic formsarithmetic quotientsperiod integralsdual reductive pairsgeodesic cyclesharmonic cusp formliftings of automorphic formscycles in Hilbert modular surfacesPoincaré duals

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Holomorphic modular forms of integral weight (11F11) Automorphic forms, one variable (11F12) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic functions in symmetric domains (32N15)

Related Items (1)

Construction of Cohomology of Discrete Groups

Cites Work

• Correspondence of Hermitian modular forms to cycles associated to \(\mathrm{SU}(p,2)\)
• Period integrals in noncompact quotients of SU(p,1)
• Correspondence of modular forms to cycles associated to O(p,q)
• Harmonic differentials and closed geodesics on a Riemann surface
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• On the Segal-Shale-Weil representations and harmonic polynomials
• Intersection numbers for quotients of the complex 2-ball and Hilbert modular forms
• On certain arithmetic automorphic forms for SU(1,q)
• Shimura and Shintani correspondences
• Theta functions defined by geodesic cycles in quotients of SU(p,1)
• On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds
• Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.
• Sur certains groupes d'opérateurs unitaires
• Holomorphic discrete series for the real symplectic group
• On the theory of indefinite quadratic forms
• Transcending Classical Invariant Theory
• Tubes, Cohomology with Growth Conditions and an Application to the Theta Correspondence
• Remarks on Classical Invariant Theory
• On a Relation Between ~ SL   2   Cusp Forms and Cusp Forms on Tube Domains Associated to Orthogonal Groups
• Modular forms of half integral weight and the integral of certain theta-functions
• On construction of holomorphic cusp forms of half integral weight
• On the Doi-Naganuma lifting associated with imaginary quadratic fields
• Development of an Extended Exterior Differential Calculus
• Periods of Hilbert modular surfaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Correspondence of modular forms to cycles associated to \(Sp(p,q)\)