Some degenerations of Kazhdan-Lusztig ideals and multiplicities of Schubert varieties

DOI10.1016/j.aim.2011.09.010zbMath1232.14033arXiv1001.3437OpenAlexW1970399178WikidataQ57959205 ScholiaQ57959205MaRDI QIDQ655356

Alexander Yong, Li Li

Publication date: 4 January 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3437

zbMATH Keywords

Gröbner basisSchubert varietiesHilbert-Samuel multiplicities

Mathematics Subject Classification ID

Related Items (7)

Cominuscule points and Schubert varieties ⋮ Patch ideals and Peterson varieties ⋮ The multiplicity of a singularity in a vexillary Schubert variety ⋮ Hilbert coefficients of Schubert varieties in Grassmannians ⋮ Multiplicities of Schubert varieties in the symplectic flag variety ⋮ Multiplicity on a Richardson variety in a cominuscule $G/P$ ⋮ Excited Young diagrams, equivariant $K$-theory, and Schubert varieties

Cites Work

• Kazhdan-Lusztig polynomials and drift configurations
• Criterion for smoothness of Schubert varieties in Sl(n)/B
• Multiplicities of points on a Schubert variety in a minuscule G/P
• Gröbner geometry of Schubert polynomials
• Governing singularities of Schubert varieties
• Schubert patches degenerate to subword complexes
• Representations of Coxeter groups and Hecke algebras
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Gröbner bases and multiplicity of determinantal and Pfaffian ideals
• Vexillary elements in the hyperoctahedral group
• Hilbert functions of points on Schubert varieties in Grassmannians.
• Singular loci of Schubert varieties
• On multiplicities of points on Schubert varieties in Grassmannians
• Subword complexes in Coxeter groups.
• A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians.
• Initial complexes of prime ideals
• Excited Young diagrams and equivariant Schubert calculus
• Hilbert functions of points on Schubert varieties in the symplectic Grassmannian
• Gröbner geometry of vertex decompositions and of flagged tableaux
• RC-Graphs and Schubert Polynomials
• Combinatorial Commutative Algebra
• Lectures on the Geometry of Flag Varieties
• Multiplicities of points on Schubert varieties in Grassmannians
• The flagged double Schur function
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