The singular locus of a Schubert variety

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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Field Value
Source ISSN: 0021-8693
Author Kassel, Christian, Lascoux, Alain, Reutenauer, Christophe
Maintainer CCSD
Last Updated May 10, 2026, 11:50 (UTC)
Created May 10, 2026, 11:50 (UTC)
Identifier hal-00084087
Language en
contributor Institut de Recherche Mathématique Avancée (IRMA) ; Université Louis Pasteur - Strasbourg I-Centre National de la Recherche Scientifique (CNRS)
creator Kassel, Christian
date 2003-05-10T00:00:00
harvest_object_id 9502d074-d1b2-4f1d-b914-e737f6c3e965
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-04-02T00:00:00
relation info:eu-repo/semantics/altIdentifier/doi/10.1016/S0021-8693(03)00014-0
set_spec type:ART