Smooth Schubert varieties in \(G/B\) and \(B\)-submodules of \(\mathfrak{g}/\mathfrak{b}\)

DOI10.1007/s00031-011-9128-7zbMath1235.14049OpenAlexW2063348527MaRDI QIDQ649078

Carrell, James B.

Publication date: 30 November 2011

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00031-011-9128-7

zbMATH Keywords

Schubert varietiessimilarities

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)

Related Items (2)

Applications of homogeneous fiber bundles to the Schubert varieties ⋮ Betti numbers of smooth Schubert varieties and the remarkable formula of Kostant, Macdonald, Shapiro, and Steinberg

Cites Work

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• Criterion for smoothness of Schubert varieties in Sl(n)/B
• Smooth and palindromic Schubert varieties in affine Grassmannians
• On Schubert varieties in the flag manifold of Sl(n,\({\mathbb C})\)
• Pattern avoidance and rational smoothness of Schubert varieties
• Smooth points of \(T\)-stable varieties in \(G\)/\(B\) and the Peterson map
• Lower bounds for Kazhdan-Lusztig polynomials from patterns.
• Singular loci of Schubert varieties
• On Zariski tangent spaces of Schubert varieties, and a proof of a conjecture of Deodhar
• The nil Hecke ring and singularity of Schubert varieties
• Smoothness of Schubert varieties via patterns in root subsystems
• Singular locus of a Schubert variety
• Local poincaré duality and non-singularity of schubert varieties

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