Generic singularities and quasi-resolutions of Schubert varieties for the lineary group.

DOI10.1016/S0001-8708(02)00081-6zbMath1044.14026MaRDI QIDQ1408808

Aurélie Cortez

Publication date: 25 September 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

generic singularitiesSchubert varietiessingular locilinear groupsquasi-resolutions

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Singularities in algebraic geometry (14B05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Grassmannians, Schubert varieties, flag manifolds (14M15) Global theory and resolution of singularities (algebro-geometric aspects) (14E15)

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When is a Schubert variety Gorenstein? ⋮ Singular loci of cominuscule Schubert varieties ⋮ The Nash blow-up of a cominuscule Schubert variety ⋮ Mask formulas for cograssmannian Kazhdan-Lusztig polynomials. ⋮ A tightness property of relatively smooth permutations ⋮ Governing singularities of Schubert varieties ⋮ Geometric conditions for \(\square\)-irreducibility of certain representations of the general linear group over a non-Archimedean local field ⋮ Kazhdan-Lusztig polynomials of Boolean elements ⋮ The Gorenstein locus of minuscule Schubert varieties ⋮ Multiplicity on a Richardson variety in a cominuscule $G/P$ ⋮ \(\mathsf{K}\)-orbit closures and Barbasch-Evens-Magyar varieties

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