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math.AG2024
Regular Hessenberg varieties for the minimal indecomposable Hessenberg space
Erik Insko, Martha Precup, Alexander Woo
This paper investigates the geometry of regular Hessenberg varieties associated with the minimal indecomposable Hessenberg space in the flag variety of a complex reductive group. T…
math.AG2018
A formula for the cohomology and -class of a regular Hessenberg variety
Erik Insko, Julianna Tymoczko, Alexander Woo
Hessenberg varieties are subvarieties of the flag variety parametrized by a linear operator and a nondecreasing function . The family of Hessenberg varieties for regular …
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…