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arXiv · 1310.4212

The Connectedness of Hessenberg Varieties

Martha Precup
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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.

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Martha Precup. 2013-10-15. The Connectedness of Hessenberg Varieties. https://arxiv.org/abs/1310.4212

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