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Normality of orbit closures in the enhanced nilpotent cone

Published online by Cambridge University Press:  11 January 2016

Pramod N. Achar ,
Anthony Henderson  and
Benjamin F. Jones
Pramod N. Achar
Affiliation:
Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803, USApramod@math.lsu.edu
Anthony Henderson
Affiliation:
School of Mathematics and Statistics, University of Sydney, NSW 2006, Australiaanthony.henderson@sydney.edu.au
Benjamin F. Jones
Affiliation:
Department of Mathematics, Statistics, and Computer Science, University of Wisconsin-Stout Menomonie, Wisconsin 54751, USAjonesbe@uwstout.edu
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Abstract

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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.

Keywords

17B0814L30
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 203 , September 2011 , pp. 1 - 45
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2011

References

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