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The singular locus of a Schubert variety

Abstract : The singular locus of a Schubert variety Xμ in the flag variety for GLn(C) is the union of Schubert varieties Xν, where ν runs over a set Sg(μ) of permutations in Sn. We describe completely the maximal elements of Sg(μ) under the Bruhat order, thus determining the irreducible components of the singular locus of Xμ.
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Contributor : Grégory Thureau Connect in order to contact the contributor
Submitted on : Wednesday, July 5, 2006 - 4:10:53 PM
Last modification on : Tuesday, June 7, 2022 - 1:09:12 PM

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Christian Kassel, Alain Lascoux, Christophe Reutenauer. The singular locus of a Schubert variety. Journal of Algebra, Elsevier, 2003, 269, num. 1, pp.74-108. ⟨10.1016/S0021-8693(03)00014-0⟩. ⟨hal-00084087⟩



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