Vanishing theorems for cohomologies of automorphic vector bundles

DOI10.4310/JDG/1214458111zbMath0852.32018OpenAlexW2122511132WikidataQ115177623 ScholiaQ115177623MaRDI QIDQ1915939

C. S. Rajan

Publication date: 4 December 1996

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214458111

zbMATH Keywords

rigiditydeformationstangent bundlereal semisimple Lie groupvanishing theoreminfinitesimal rigidityKuranishi spaceunitary module\((q - K^ \mathbb{C})\)-cohomology\(\overline \partial\)-cohomologyautomorphic vector bundlecompact factor of real semisimple Lie grouplocally hermitian symmetric domainlocally homogeneous Kählerian manifold

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Vanishing theorems (32L20)

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