Open Access
September 2011 Normality of orbit closures in the enhanced nilpotent cone
Pramod N. Achar, Anthony Henderson, Benjamin F. Jones
Nagoya Math. J. 203: 1-45 (September 2011). DOI: 10.1215/00277630-1331854


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.


Download Citation

Pramod N. Achar. Anthony Henderson. Benjamin F. Jones. "Normality of orbit closures in the enhanced nilpotent cone." Nagoya Math. J. 203 1 - 45, September 2011.


Published: September 2011
First available in Project Euclid: 18 August 2011

zbMATH: 1252.17005
MathSciNet: MR2834248
Digital Object Identifier: 10.1215/00277630-1331854

Primary: 17B08
Secondary: 14L30

Rights: Copyright © 2011 Editorial Board, Nagoya Mathematical Journal

Vol.203 • September 2011
Back to Top