Sur la cohomologie des fibrés associés au fibré quotient universel sur la grassmannienne

DOI10.24033/bsmf.2136zbMath0728.14018OpenAlexW2275562086MaRDI QIDQ3351507

Laurent Manivel

Publication date: 1990

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1990__118_1_67_0

zbMATH Keywords

flag varietyvanishing theoremscohomology groups on Grassmannians

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Grassmannians, Schubert varieties, flag manifolds (14M15) Vanishing theorems (32L20)

Cites Work

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• Homogeneous vector bundles
• Cohomology of twisted holomorphic forms on Grassmann manifolds and quadric hypersurfaces
• Vanishing theorems, linear and quadratic normality
• Vanishing theorems for tensor powers of an ample vector bundle
• Cohomologie de la grassmannienne à valeurs dans les puissances extérieurs et symétriques du fibre universel
• A very simple proof of Bott's theorem

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