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Vanishing theorems for type (0,q) cohomology of locally symmetric spaces

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Publication:1156914
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zbMath0469.32011MaRDI QIDQ1156914

Floyd L. Williams

Publication date: 1981

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

semisimple Lie groupHermitian symmetric spacebounded symmetric domainparabolic subalgebravanishing of cohomologycompact complex locally symmetric spaces


Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Complex Lie groups, group actions on complex spaces (32M05) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Homogeneous complex manifolds (32M10) Vanishing theorems (32L20)


Related Items

On Partition Functions of Hyperbolic Three-Geometry and Associated Hilbert Schemes, Partition functions for quantum gravity, black holes, elliptic genera and Lie algebra homologies, Vanishing on cohomology associated to Hermitian symmetric spaces, Borel-Le Potier diagrams - calculus of their cohomology bundles



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