On compactifications of the Steinberg zero-fiber

DOI10.1016/j.jalgebra.2006.03.021zbMath1115.14038arXivmath/0506348OpenAlexW2077955364MaRDI QIDQ855962

Thomas Haahr Lynderup, Jesper Funch Thomsen

Publication date: 7 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0506348

zbMATH Keywords

algebraic groupactionequivariant embedding

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Linear algebraic groups and related topics (20G99)

Cites Work

• Unnamed Item
• Frobenius splitting and hyperplane sections of flag manifolds
• Closures of Steinberg fibers in twisted wonderful compactifications
• Frobenius splitting and cohomology vanishing for Schubert varieties
• Equations defining Schubert varieties and Frobenius splitting of diagonals
• Compactification of symmetric varieties
• On a Grauert-Riemenschneider vanishing theorem for Frobenius split varieties in characteristic \(p\)
• Unipotent variety in the group compactification.
• Regular elements of semisimple algebraic groups
• FROBENIUS SPLITTING OF EQUIVARIANT CLOSURES OF REGULAR CONJUGACY CLASSES
• Large Schubert varieties
• Reductive embeddings are Cohen-Macaulay
• F - regularity of large Schubert varieties

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