Maximal singular loci of Schubert varieties in SL(n)/B

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dc.creatorBilley, Sara C.
dc.creatorWarrington, Gregory S.
dc.date2001-02-21
dc.date.accessioned2026-07-07T04:40:17Z
dc.date.available2026-07-07T04:40:17Z
dc.descriptionWe give an explicit combinatorial description of the irreducible components of the singular locus of the Schubert variety X_w for any element w in S_n. Our description of the irreducible components is computationally more efficient (O(n^6)) than the previously best known algorithms. This result proves a conjecture of Lakshmibai and Sandhya regarding this singular locus. Furthermore, we give simple formulas for calculating the Kazhdan-Lusztig polynomials at the maximum singular points.
dc.description50 pages, 50 figures
dc.identifierhttps://arxiv.org/abs/math/0102168
dc.identifierhttp://arxiv.org/abs/math/0102168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60982
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14M15; 05E15
dc.titleMaximal singular loci of Schubert varieties in SL(n)/B
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