Cohomology of line bundles on the wonderful compactification of an adjoint semi-simple group

DOI10.1016/S1631-073X(02)02288-4zbMath0995.14019MaRDI QIDQ1600132

Alexis Tchoudjem

Publication date: 22 October 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

cohomology groupswonderful compactificationsemi-simple group

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Group varieties (14L10)

Related Items (4)

Cohomologie des fibrés en droites sur les compactifications des groupes réductifs ⋮ Cohomology of line bundles on horospherical varieties ⋮ Spherical homogeneous spaces of minimal rank ⋮ A Borel-Weil-Bott type theorem for group completions.

Cites Work

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• Affine Kac-Moody algebras and semi-infinite flag manifolds
• A geometric construction of a resolution of the fundamental series
• The Grothendieck-Cousin complex of an induced representation
• The behavior at infinity of the Bruhat decomposition
• Some theorems on actions of algebraic groups
• Large Schubert varieties

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