# Normality of orbit closures in the enhanced nilpotent cone - Mathematics > Representation Theory

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Abstract: We continue the study of the closures of $GLV$-orbits in the enhancednilpotent cone $V\times\cN$ begun by the first two authors. We prove that eachclosure is an invariant-theoretic quotient of a suitably-defined enhancedquiver variety. We conjecture, and prove in special cases, that these enhancedquiver varieties are normal complete intersections, implying that the enhancednilpotent orbit closures are also normal.

Author: Pramod N. Achar, Anthony Henderson, Benjamin F. Jones

Source: https://arxiv.org/