Rationality of singularities and the Gorenstein property for nilpotent orbits (Q1178112)
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scientific article; zbMATH DE number 22844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rationality of singularities and the Gorenstein property for nilpotent orbits |
scientific article; zbMATH DE number 22844 |
Statements
Rationality of singularities and the Gorenstein property for nilpotent orbits (English)
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26 June 1992
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The author essentially proves two results. First he describes the nilpotent orbits of a semisimple Lie algebra over an algebraically closed field of characteristic zero, which have the Gorenstein property. --- Secondly he considers a certain normal algebraic variety \(X\). He obtains a necessary and sufficient condition for the existence of resolvable rational singularities on \(X\) in function of the dual Grothendieck sheaf of \(X\).
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nilpotent orbits of a semisimple Lie algebra
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resolvable rational singularities
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