Borel-Le Potier diagrams - calculus of their cohomology bundles

DOI10.2748/tmj/1178228850zbMath0578.32054OpenAlexW1987040094MaRDI QIDQ1066326

Hans R. Fischer, Floyd L. Williams

Publication date: 1984

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228850

zbMATH Keywords

cohomologyDolbeaultautomorphic cohomologyBorel spectral sequence for holomorphic fibrationscohomology vanishing theorems

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Automorphic forms in several complex variables (32N10) Homogeneous complex manifolds (32M10) Vanishing theorems (32L20)

Related Items (1)

Local-to-global spectral sequences for the cohomology of diagrams

Cites Work

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• Vanishing theorems for type (0,q) cohomology of locally symmetric spaces. II
• Homogeneous vector bundles
• On the intermediate cohomology group of a holomorphic line bundle over a complex torus
• Poincaré series and automorphic cohomology on flag domains
• Vanishing theorems for type (0,q) cohomology of locally symmetric spaces
• Frobenius reciprocity and Lie group representations on (partial d) cohomology spaces
• Annulation de la cohomologie à valeurs dans un fibre vectoriel holomorphe positif de rang quelconque
• On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds
• Lie algebra cohomology and the generalized Borel-Weil theorem
• On certain cohomology groups attached to Hermitian symmetric spaces
• Locally homogeneous complex manifolds
• Factors of automorphy and Fock representations
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• Complex manifolds and mathematical physics
• Generalized Automorphic Forms and Certain Holomorphic Vector Bundles
• HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
• Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems

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