Desingularization of Schubert varieties and orbit closures of prehomogeneous vector spaces of commutative parabolic type

DOI10.1016/S0019-3577(98)80022-0zbMath0940.14036MaRDI QIDQ1279787

Akihiko Gyoja

Publication date: 31 May 1999

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

prehomogeneous vector spacesorbit closuresdesingularization of Schubert varietiesintersection cohomology method

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items (1)

Character sums and intersection cohomology complexes associated to the space of square matrices

Cites Work

• Exponential sums over finite simple Jordan algebras and finite simple associative algebras
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• Highest weight modules and \(b\)-functions of semi-invariants
• Small resolutions of Schubert varieties in symplectic and orthogonal Grassmannians
• Character sums and intersection cohomology complexes associated to the space of square matrices
• Parabolic subgroups with Abelian unipotent radical
• Categories of highest weight modules: applications to classical Hermitian symmetric pairs
• Theb-functions and holonomy diagrams of irreducible regular prehomogeneous vector spaces
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• A Classification of Spinors Up to Dimension Twelve
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