A characterization of Kempf varieties by means of standard monomials and the geometric consequences

DOI10.1016/0021-8693(85)90204-2zbMath0612.14049OpenAlexW2023770900MaRDI QIDQ1087954

Craig Huneke, Venkatramani Lakshmibai

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90204-2

zbMATH Keywords

Schubert varietiesstandard monomialsmulticones over Kempf varietiesweakly standard Young diagrams

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over arbitrary fields (20G15) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (4)

Geometry of G/P. V ⋮ Degenerations of flag and Schubert varieties to toric varieties ⋮ PBW-degenerated Demazure modules and Schubert varieties for triangular elements ⋮ Quotients of Coxeter complexes and buildings with linear diagram

Cites Work

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• Bruhat order of Coxeter groups and shellability
• Classical Bruhat orders and lexicographic shellability
• Cohen-Macaulay quotients of polynomial rings
• Shellable and Cohen-Macaulay Partially Ordered Sets
• Geometry of G/P-II [The work of De Concini and Procesi and the basic conjectures]
• Geometry of 𝐺/𝑃
• Arithmetic Cohen-Macaulayness and Arithmetic Normality for Schubert Varieties
• Désingularisation des variétés de Schubert généralisées
• Cohomology of line bundles on $G/B$

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