Die Quasiaffinität der Deligne-Lusztig-Varietäten. (The quasi- affinity of the Deligne-Lusztig varieties)

DOI10.1016/0021-8693(86)90135-3zbMath0615.20021OpenAlexW2050082310MaRDI QIDQ1820865

Burkhard Haastert

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90135-3

zbMATH Keywords

vanishing theoremBorel subgroupDeligne-Lusztig varietiesconnected reductive algebraic groupquasi-affineeigenvalues of the Frobenius endomorphism

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30)

Related Items (7)

Cohomology of Deligne-Lusztig varieties. ⋮ On the affineness of distinguished Deligne-Lusztig varieties ⋮ Derived categories and Deligne-Lusztig varieties. ⋮ Supersingular Kottwitz–Rapoport strata and Deligne–Lusztig varieties ⋮ On the affineness of Deligne-Lusztig varieties. ⋮ Deligne-Lusztig varieties and period domains over finite fields ⋮ On the connectedness of Deligne-Lusztig varieties

Cites Work

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• Representations of reductive groups over finite fields
• Irreducible representations of finite classical groups
• Algebraic groups and Hopf algebras
• Fonctions $L$ des variétés de Deligne-Lusztig et descente de Shintani
• Désingularisation des variétés de Schubert généralisées

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