Theta functions and holomorphic differential forms on compact quotients of bounded symmetric domains

DOI10.1215/S0012-7094-83-05049-4zbMath0557.32006MaRDI QIDQ762318

Greg W. Anderson

Publication date: 1983

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

theta functionscompact quotients of bounded symmetric domainsnon vanishing holomorphic differential forms

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Theta functions and abelian varieties (14K25) Differential forms in global analysis (58A10) Automorphic functions in symmetric domains (32N15)

Related Items

Two reductive dual pairs in groups of type \(E\), Unnamed Item, Theta series and generalized special cycles on Hermitian locally symmetric manifolds, Some consequences of Arthur's work on the spectrum and topology of hyperbolic varieties, Restriction of the holomorphic cohomology of a Shimura variety to a smaller Shimura variety., On the cohomology of some complex hyperbolic arithmetic 3-manifolds, Products in the cohomology of Shimura varieties: some calculations., Vanishing on cohomology associated to Hermitian symmetric spaces, Restriction of the cohomology of a Shimura variety to its subvarieties, Theta lifting for unitary representations with nonzero cohomology, Geometric cycles in compact locally Hermitian symmetric spaces and automorphic representations

Cites Work

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