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arxiv: 1310.4212 · v1 · pith:GHRZB4ZAnew · submitted 2013-10-15 · 🧮 math.AG

The Connectedness of Hessenberg Varieties

classification 🧮 math.AG
keywords hessenbergvarietiesconnectednesscriterionandersoncertainclosedconnected
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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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