22 citations · 23 across the 7 of their papers we have counts for
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Dimensions of type Hessenberg varieties over a fixed sheet
Megumi Harada, Martha Precup, Colleen Robichaux
Hessenberg varieties are subvarieties of the flag variety parameterized by a Hessenberg function and a ma…
Matrix Hessenberg schemes over the minimal sheet
Rebecca Goldin, Martha Precup
We study families of matrix Hessenberg schemes in the affine scheme of complex matrices, each defined over a fixed sheet in the Lie algebra $\mathfrak{gl}_n(\mathbb{C})…
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…
Which Schubert Varieties are Hessenberg Varieties?
Laura Escobar, Martha Precup, John Shareshian
After proving that every Schubert variety in the full flag variety of a complex reductive group is a general Hessenberg variety, we show that not all such Schubert varieties ar…
A new approach to the generalized Springer correspondence
William Graham, Martha Precup, Amber Russell
The Springer resolution of the nilpotent cone is used to give a geometric construction of the irreducible representations of Weyl groups. Borho and MacPherson obtain the Springer c…
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…