A combinatorial approach to the singularities of Schubert varieties
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Publication:917644
DOI10.1016/0001-8708(89)90048-0zbMath0705.14048OpenAlexW2076117405MaRDI QIDQ917644
Publication date: 1989
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0001-8708(89)90048-0
Grassmannians, Schubert varieties, flag manifolds (14M15) Computational aspects of higher-dimensional varieties (14Q15) Enumerative problems (combinatorial problems) in algebraic geometry (14N10)
Related Items (14)
Billey-Postnikov decompositions and the fibre bundle structure of Schubert varieties ⋮ The nil Hecke ring and singularity of Schubert varieties ⋮ Classification of smooth horizontal Schubert varieties ⋮ Pattern characterization of rationally smooth affine Schubert varieties of type \(A\) ⋮ Classification of Levi-spherical Schubert varieties ⋮ A tightness property of relatively smooth permutations ⋮ The geometry and combinatorics of Springer fibers ⋮ Governing singularities of Schubert varieties ⋮ Smooth Schubert varieties in the affine flag variety of type \(\tilde{A}\) ⋮ Pattern avoidance and fiber bundle structures on Schubert varieties ⋮ Pattern avoidance and fiber bundle structures on Schubert varieties ⋮ The Riccati Flow and Singularities of Schubert Varieties ⋮ Leading coefficients of Kazhdan-Lusztig polynomials for Deodhar elements. ⋮ Smoothness of Schubert varieties via patterns in root subsystems
Cites Work
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- Classical Bruhat orders and lexicographic shellability
- Representations of Coxeter groups and Hecke algebras
- Geometry on Grassmannians and applications to splitting bundles and smoothing cycles
- Some Intersection Properties of the Fibres of Springer's Resolution
- Singular locus of a Schubert variety
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