Hilbert functions of points on Schubert varieties in Grassmannians.

DOI10.1016/S0021-8693(03)00518-0zbMath1083.14056arXivmath/0206121OpenAlexW2129139079MaRDI QIDQ1419000

Vijay Kodiyalam, Komaranapuram N. Raghavan

Publication date: 14 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0206121

zbMATH Keywords

multiplicitydeterminantal idealsstandard monomial theorytangent cone

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (16)

Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian ⋮ Excited Young diagrams and equivariant Schubert calculus ⋮ Schubert varieties in the Grassmannian and the symplectic Grassmannian via a bounded RSK correspondence ⋮ The multiplicity of a singularity in a vexillary Schubert variety ⋮ Initial ideals of tangent cones to the Richardson varieties in the orthogonal Grassmannian ⋮ Local properties of Richardson varieties in the Grassmannian via a bounded Robinson-Schensted-Knuth correspondence ⋮ Some degenerations of Kazhdan-Lusztig ideals and multiplicities of Schubert varieties ⋮ Governing singularities of Schubert varieties ⋮ Hilbert functions of points on Schubert varieties in orthogonal grassmannians ⋮ Hilbert coefficients of Schubert varieties in Grassmannians ⋮ Multiplicities of Schubert varieties in the symplectic flag variety ⋮ Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians ⋮ Schubert patches degenerate to subword complexes ⋮ Multiplicity on a Richardson variety in a cominuscule $G/P$ ⋮ Hilbert functions of points on Schubert varieties in the symplectic Grassmannian ⋮ Excited Young diagrams, equivariant $K$-theory, and Schubert varieties

Cites Work

• Multiplicities of points on a Schubert variety in a minuscule G/P
• Gröbner geometry of Schubert polynomials
• Gröbner bases and multiplicity of determinantal and Pfaffian ideals
• On multiplicities of points on Schubert varieties in Grassmannians
• Multiplicities of points on Schubert varieties in Grassmannians
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