On multiplicities of points on Schubert varieties in Grassmannians

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dc.creatorKrattenthaler, Christian
dc.date2000-11-17
dc.date.accessioned2026-07-07T04:38:40Z
dc.date.available2026-07-07T04:38:40Z
dc.descriptionWe answer some questions related to multiplicity formulas by Rosenthal and Zelevinsky and by Lakshmibai and Weyman for points on Schubert varieties in Grassmannians. In particular, we give combinatorial interpretations in terms of nonintersecting lattice paths of these formulas, which makes the equality of the two formulas immediately obvious. Furthermore we provide an alternative determinantal formula for these multiplicities, and we show that they count semistandard tableaux of unusual shapes.
dc.description10 pages, AmS-TeX
dc.identifierhttps://arxiv.org/abs/math/0011129
dc.identifierhttp://arxiv.org/abs/math/0011129
dc.identifierSéminaire Lotharingien Combin. 45 (2001), Article B45c, 11 pp
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60369
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject14M15 (Primary) 05A15 05E15 14H20 (Secondary)
dc.titleOn multiplicities of points on Schubert varieties in Grassmannians
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