Theta functions defined by geodesic cycles in quotients of SU(p,1)

DOI10.1007/BF02095988zbMath0506.10024MaRDI QIDQ1836684

S. P. Wang, Yue Lin L. Tong

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/142999

zbMATH Keywords

liftingtheta functionsharmonic formsHermitian modular formscompact quotients of complex hyperbolic spacedual forms to geodesic cycles

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Hodge theory in global analysis (58A14) Automorphic forms, one variable (11F12)

Related Items

The theta correspondence and harmonic forms. I, Closed geodesics and pluricanonical sections on ball quotients, Correspondence of modular forms to cycles associated to \(Sp(p,q)\), The theta correspondence and harmonic forms. II, Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables, Harmonic forms dual to geodesic cycles in quotients of SU(p,1), Geometric cycles, arithmetic groups and their cohomology, On vector-valued automorphic forms on bounded symmetric domains, Unnamed Item, Construction of Cohomology of Discrete Groups, Period integrals in noncompact quotients of SU(p,1)

Cites Work

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• On construction of holomorphic cusp forms of half integral weight
• Periods of Hilbert modular surfaces
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