A vanishing theorem for group compactifications

DOI10.1007/BF01457285zbMath0595.14037MaRDI QIDQ1077485

Elisabetta Strickland

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164242

zbMATH Keywords

Schubert varietiesflag varietiescohomology of line bundlescompactification of semisimple adjoint groupfield of arbitrary characteristic

Mathematics Subject Classification ID

Related Items (26)

Reductive embeddings are Cohen-Macaulay ⋮ On a smooth compactification of \(\mathrm{PSL}(n,\mathbb{C})/T\) ⋮ Semistable locus of a group compactification ⋮ Une extension du théorème de Borel-Weil. (An extension of the Borel- Weil theorem) ⋮ Spécialisation de la $R$-équivalence pour les groupes réductifs ⋮ Equivariant cohomology of the wonderful group compactification. ⋮ Equivariant Chow groups for torus actions ⋮ Standard monomials for wonderful group compactifications. ⋮ Character sheaves on the semi-stable locus of a group compactification. ⋮ Normality and Cohen-Macaulayness of local models of Shimura varieties ⋮ On embeddings of certain spherical homogeneous spaces in prime characteristic ⋮ Algebraic groups. Abstracts from the workshop held April 18--24, 2021 (hybrid meeting) ⋮ Embeddings of spherical homogeneous spaces in characteristic \(p\) ⋮ Generalized moment graphs and the equivariant intersection cohomology of BXB-orbit closures in the wonderful compactification of a group ⋮ Dimension of affine Springer fibers for groups ⋮ The ring of conditions of a semisimple group ⋮ Rational points on compactifications of semi-simple groups ⋮ Unipotent variety in the group compactification. ⋮ Principal \(G\)-bundles on nodal curves ⋮ Geometric constant term functor(s) ⋮ Group completions via Hilbert schemes ⋮ On the geometry of spherical varieties ⋮ Wonderful compactification of character varieties ⋮ Large Schubert varieties ⋮ Compactification of symmetric varieties ⋮ A Borel-Weil-Bott type theorem for group completions.

Cites Work

• Unnamed Item
• Unnamed Item
• Projective normality of flag varieties and Schubert varieties
• Frobenius splitting and cohomology vanishing for Schubert varieties
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Beweismethoden der Differentialgeometrie im Großen
• Representations of Algebraic Groups
• THE GEOMETRY OF TORIC VARIETIES

This page was built for publication: A vanishing theorem for group compactifications