Staircase diagrams and enumeration of smooth Schubert varieties

zbMath1440.05236arXiv1510.06060MaRDI QIDQ5111028

Edward Richmond, William Slofstra

Publication date: 26 May 2020

Full work available at URL: https://arxiv.org/abs/1510.06060

zbMATH Keywords

Schubert varietiesrational smoothnessBilley-Postnikov decompositions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Classical problems, Schubert calculus (14N15) Combinatorial aspects of algebraic geometry (05E14)

Related Items (1)

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Cites Work

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• Billey-Postnikov decompositions and the fibre bundle structure of Schubert varieties
• Pattern avoidance and rational smoothness of Schubert varieties
• The permutation classes equinumerous to the smooth class
• Smooth points of \(T\)-stable varieties in \(G\)/\(B\) and the Peterson map
• Singular loci of Schubert varieties
• Forest-like permutations
• Smoothness of Schubert varieties via patterns in root subsystems

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