Local properties of Richardson varieties in the Grassmannian via a bounded Robinson-Schensted-Knuth correspondence

DOI10.1007/s10801-007-0093-0zbMath1142.14034arXivmath/0511695OpenAlexW2077960976MaRDI QIDQ925310

Victor Kreiman

Publication date: 3 June 2008

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511695

zbMATH Keywords

multiplicitySchubert varietyGrassmannianRobinson-Schensted-Knuth correspondence

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of higher-dimensional varieties (14Q15)

Related Items

Standard monomial theory for desingularized Richardson varieties in the flag variety \(\mathrm{GL}(n)/B\) ⋮ Schubert varieties in the Grassmannian and the symplectic Grassmannian via a bounded RSK correspondence ⋮ Initial ideals of tangent cones to the Richardson varieties in the orthogonal Grassmannian ⋮ Hilbert functions of points on Schubert varieties in orthogonal grassmannians ⋮ Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians ⋮ Multiplicity on a Richardson variety in a cominuscule $G/P$ ⋮ Excited Young diagrams, equivariant $K$-theory, and Schubert varieties

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