A Borel-Weil-Bott type theorem for group completions.

DOI10.1016/S0021-8693(02)00569-0zbMath1125.14302MaRDI QIDQ1867324

Syu Kato

Publication date: 2 April 2003

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

cohomologyBorel-Weil-Bott theoremLine bundlewonderful group completion

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30)

Related Items (3)

Cohomologie des fibrés en droites sur les compactifications des groupes réductifs ⋮ Cohomologie des fibrés en droites sur les variétés magnifiques de rang minimal ⋮ A vanishing theorem for the canonical blow-ups of Grassmann manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• On complete symmetric varieties
• A vanishing theorem for group compactifications
• The Grothendieck-Cousin complex of an induced representation
• Compactification of symmetric varieties
• Cohomology of line bundles on the wonderful compactification of an adjoint semi-simple group
• Cohomology of regular embeddings
• Cohomology of compactifications of algebraic groups
• Corrigendum: Representations of reductive groups in cohomology spaces
• Some theorems on actions of algebraic groups
• Une extension du théorème de Borel-Weil. (An extension of the Borel- Weil theorem)

This page was built for publication: A Borel-Weil-Bott type theorem for group completions.