Multiplicities of points on a Schubert variety in a minuscule G/P
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Publication:805703
DOI10.1016/0001-8708(90)90044-NzbMath0729.14037MaRDI QIDQ805703
Jerzy Weyman, Venkatramani Lakshmibai
Publication date: 1990
Published in: Advances in Mathematics (Search for Journal in Brave)
Homogeneous spaces and generalizations (14M17) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Grassmannians, Schubert varieties, flag manifolds (14M15)
Related Items (33)
Triangulations and Severi Varieties ⋮ Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian ⋮ Excited Young diagrams and equivariant Schubert calculus ⋮ Billey-Postnikov decompositions and the fibre bundle structure of Schubert varieties ⋮ Schubert varieties, toric varieties and ladder determinantal varieties ⋮ Degenerations of flag and Schubert varieties to toric varieties ⋮ Classification of smooth horizontal Schubert varieties ⋮ Minuscule Schubert varieties and mirror symmetry ⋮ Characteristic cycles of highest weight Harish-Chandra modules for \(\mathrm{Sp}(2n,\mathbb{R})\) ⋮ The isomorphism problem for Grassmannian Schubert varieties ⋮ The multiplicity of a singularity in a vexillary Schubert variety ⋮ Basic loci of Coxeter type with arbitrary parahoric level ⋮ The uniqueness theorem for Gysin coherent characteristic classes of singular spaces ⋮ Standard embeddings of smooth Schubert varieties in rational homogeneous manifolds of Picard number 1 ⋮ Hilbert functions of points on Schubert varieties in Grassmannians. ⋮ Gysin restriction of topological and Hodge-theoretic characteristic classes for singular spaces ⋮ Automorphism groups of Grassmann codes ⋮ Some degenerations of Kazhdan-Lusztig ideals and multiplicities of Schubert varieties ⋮ Governing singularities of Schubert varieties ⋮ Hilbert functions of points on Schubert varieties in orthogonal grassmannians ⋮ Multiplicities of points on Schubert varieties in Grassmannians ⋮ Hilbert coefficients of Schubert varieties in Grassmannians ⋮ The arc space of the Grassmannian ⋮ Numerology of square equations ⋮ Visual Basic Representations ⋮ Singular loci of ladder determinantal varieties and Schubert varieties ⋮ Multiplicity on a Richardson variety in a cominuscule $G/P$ ⋮ Hilbert functions of points on Schubert varieties in the symplectic Grassmannian ⋮ Rigidity of smooth Schubert varieties in Hermitian symmetric spaces ⋮ Rational curves on minuscule Schubert varieties ⋮ Excited Young diagrams, equivariant $K$-theory, and Schubert varieties ⋮ Hyperplane sections of Grassmannians and the number of MDS linear codes ⋮ A third look at weight diagrams
Cites Work
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- Geometry of G/P. V
- Geometry of G/P. VI: Bases for fundamental represenations of classical groups. Geometry of G/P. VII: The symplectic group and the involution \(\sigma\) . Geometry of G/P. VIII: The group \(SO(2n+1)\) and the involution \(\sigma\)
- Symplectic standard tableaux
- Coherent cohomology on Schubert subschemes of flag schemes and applications
- Structure of the truncated icosahedron (e.g. fullerene or \(\text{C}_{60}\), viral coatings) and a \(60\)-element conjugacy class in \(\text{PSl}(2,11)\)
- Singular locus of a Schubert variety
- Geometry of G/P-II [The work of De Concini and Procesi and the basic conjectures]
- Désingularisation des variétés de Schubert généralisées
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