The Connectedness of Hessenberg Varieties

Published 15 Oct 2013 in math.AG | (1310.4212v1)

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

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