The Connectedness of Hessenberg Varieties
Algebraic Geometry
2013-10-17 v1
Abstract
In this paper we consider certain closed subvarieties of the flag variety, known as Hessenberg varieties. We give a connectedness criterion for semisimple Hessenberg varieties generalizing a criterion given by Anderson and Tymoczko. We show that nilpotent Hessenberg varieties are rationally connected.
Keywords
Cite
@article{arxiv.1310.4212,
title = {The Connectedness of Hessenberg Varieties},
author = {Martha Precup},
journal= {arXiv preprint arXiv:1310.4212},
year = {2013}
}