Local Properties of Richardson Varieties in the Grassmannian via a Bounded Robinson-Schensted-Knuth Correspondence

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dc.creatorKreiman, V.
dc.date2005-11-29
dc.date2008-03-04
dc.date.accessioned2026-07-07T09:24:26Z
dc.date.available2026-07-07T09:24:26Z
dc.descriptionWe give an explicit Grobner basis for the ideal of the tangent cone at any T-fixed point of a Richardson variety in the Grassmannian, thus generalizing a result of Kodiyalam-Raghavan and Kreiman-Lakshmibai. Our proof is based on a generalization of the Robinson-Schensted-Knuth (RSK) correspondence, which we call the bounded RSK (BRSK). We use the Grobner basis result to deduce a formula which computes the multiplicity of the Richardson variety at any T-fixed point by counting families of nonintersecting lattice paths, thus generalizing a result first proved by Krattehthaler.
dc.description34 pages, final version, many revisions, to appear in Journal of Algebraic Combinatorics
dc.identifierhttps://arxiv.org/abs/math/0511695
dc.identifierhttp://arxiv.org/abs/math/0511695
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156093
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject14M15; 05E10
dc.titleLocal Properties of Richardson Varieties in the Grassmannian via a Bounded Robinson-Schensted-Knuth Correspondence
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