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Nagoya Mathematical Journal

Normality of orbit closures in the enhanced nilpotent cone

Pramod N. Achar, Anthony Henderson, and Benjamin F. Jones
Source: Nagoya Math. J. Volume 203 (2011), 1-45.

Abstract

We continue the study of the closures of $\operatorname{GL}(V)$-orbits in the enhanced nilpotent cone $V\times\mathcal{N}$ begun by the first two authors. We prove that each closure is an invariant-theoretic quotient of a suitably defined enhanced quiver variety. We conjecture, and prove in special cases, that these enhanced quiver varieties are normal complete intersections, implying that the enhanced nilpotent orbit closures are also normal.

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Primary Subjects: 17B08
Secondary Subjects: 14L30
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.nmj/1313682311
Digital Object Identifier: doi:10.1215/00277630-1331854
Mathematical Reviews number (MathSciNet): MR2834248
Zentralblatt MATH identifier: 05961190

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