The connectedness of hessenberg varieties

Martha Precup*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


In this paper we consider certain closed subvarieties of the flag variety, known as Hessenberg varieties. These varieties arise in representation theory, algebraic geometry, and combinatorics. We give a connectedness criterion for semisimple Hessenberg varieties that generalizes a criterion given by Anderson and Tymoczko. It also generalizes results of Iveson in type A which prove that all Hessenberg varieties satisfying this criterion are connected. We then show that nilpotent Hessenberg varieties are rationally connected.

Original languageEnglish (US)
Pages (from-to)34-43
Number of pages10
JournalJournal of Algebra
StatePublished - Sep 1 2015


  • Affine paving
  • Hessenberg varieties
  • Rationally connected

ASJC Scopus subject areas

  • Algebra and Number Theory


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