Vanishing cycles on Grassmannians

DOI10.1215/S0012-7094-90-06128-9zbMath0727.14027MaRDI QIDQ803227

Paul Bressler, Valery A. Lunts, Michael Finkelberg

Publication date: 1990

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

GrassmanniansSchubert varietiesvanishing cyclesflag varietyresolutions of singularitiesmultiplicities of components of the characteristic cycle of a D-module

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Semisimple Lie groups and their representations (22E46) Algebraic cycles (14C25) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (6)

Euler obstructions for the Lagrangian Grassmannian ⋮ Local Euler obstructions for determinantal varieties ⋮ Shadows of characteristic cycles, Verma modules, and positivity of Chern-Schwartz-MacPherson classes of Schubert cells ⋮ Characteristic cycles for the loop Grassmannian and nilpotent orbits. ⋮ Flags, Schubert polynomials, degeneracy loci, and determinantal formulas ⋮ Intersection Homology Betti Numbers

Cites Work

• Intersection homology. II
• Small resolutions of singularities of Schubert varieties
• Characteristic varieties and vanishing cycles
• A topological approach to Springer's representations
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