On the singularities of nilpotent orbits

DOI10.1007/BF02773843zbMath0766.14038MaRDI QIDQ1182822

Vladimir Hinich

Publication date: 28 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

desingularisationGorensteinness

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Complete intersections (14M10)

Related Items (18)

On the equivariant 𝐾-theory of the nilpotent cone ⋮ On a variety related to the commuting variety of a reductive Lie algebra ⋮ Representation growth and rational singularities of the moduli space of local systems ⋮ Induced nilpotent orbits and birational geometry ⋮ Generic singularities of nilpotent orbit closures ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unipotent representations and microlocalization ⋮ Unnamed Item ⋮ A transitivity result for ad-nilpotent ideals in type \(A\) ⋮ A characterization of nilpotent orbit closures among symplectic singularities ⋮ Generalized semi-invariant distributions on \(p\)-adic spaces ⋮ On simple groups and simple singularities ⋮ Unruffled extensions and flatness over central subalgebras. ⋮ Generic fibers of the generalized Springer resolution of type \(A\) ⋮ Equivariant deformation quantization and coadjoint orbit method ⋮ Perverse coherent sheaves and the geometry of special pieces in the unipotent variety. ⋮ Normal nilpotent varieties in \(F_4\)

Cites Work

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• Closures of conjugacy classes in \(G_2\)
• Toroidal embeddings. I
• Rings of regular functions on nilpotent orbits and their covers
• Simple singularities and simple algebraic groups
• Cohomology and the resolution of the nilpotent variety
• On the collapsing of homogeneous bundles
• Singularités rationnelles et déformations
• On the geometry of conjugacy classes in classical groups
• Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Singularities in the Nilpotent Scheme of a Classical Group
• Equations defining rational singularities

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