Title

Normality of orbit closures in the enhanced nilpotent cone

Document Type

Article

Publication Date

9-1-2011

Abstract

We continue the study of the closures of GL(V)-orbits in the enhanced nilpotent cone V × 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. © 2011 by The Editorial Board of the Nagoya Mathematical Journal.

Publication Source (Journal or Book title)

Nagoya Mathematical Journal

First Page

1

Last Page

45

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