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math.AG2017
The singular locus of semisimple Hessenberg varieties
Erik Insko, Martha Precup
Although regular semisimple Hessenberg varieties are smooth and irreducible, semisimple Hessenberg varieties are not necessarily smooth in general. In this paper we determine the i…
math.CO2017★ 22 cited
The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture
Megumi Harada, Martha Precup
We define a subclass of Hessenberg varieties called abelian Hessenberg varieties, inspired by the theory of abelian ideals in a Lie algebra developed by Kostant and Peterson. We gi…