Hilbert functions of points on Schubert varieties in the symplectic Grassmannian

DOI10.1090/S0002-9947-06-04037-2zbMath1111.14046arXivmath/0409338OpenAlexW3105782326MaRDI QIDQ3420326

Sudhir R. Ghorpade, Komaranapuram N. Raghavan

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409338

zbMATH Keywords

singular pointsstandard monomial theorymultiplicitiestangent cone

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Rings with straightening laws, Hodge algebras (13F50)

Related Items (14)

Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian ⋮ Excited Young diagrams and equivariant Schubert calculus ⋮ \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions ⋮ Schubert varieties in the Grassmannian and the symplectic Grassmannian via a bounded RSK correspondence ⋮ The multiplicity of a singularity in a vexillary Schubert variety ⋮ Gröbner bases, symmetric matrices, and type C Kazhdan–Lusztig varieties ⋮ 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 ⋮ Hilbert functions of points on Schubert varieties in orthogonal 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 $G/P$ ⋮ Excited Young diagrams, equivariant $K$-theory, and Schubert varieties

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