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arXiv · 1004.3822

Normality of orbit closures in the enhanced nilpotent cone

Pramod N. Achar·Anthony Henderson·Benjamin F. Jones
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Abstract

We continue the study of the closures of $GL(V)$-orbits in the enhanced nilpotent cone $V\times\cN$ 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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BibTeXRIS

Pramod N. Achar, Anthony Henderson, Benjamin F. Jones. 2010-04-22. Normality of orbit closures in the enhanced nilpotent cone. https://doi.org/10.1215/00277630-1331854

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