Matrix Hessenberg schemes over the minimal sheet
R Goldin, M Precup - arXiv preprint arXiv:2501.02639, 2025 - arxiv.org
We study families of matrix Hessenberg schemes in the affine scheme of complex $ n\times
n $ matrices, each defined over a fixed sheet in the Lie algebra $\mathfrak {gl} _n (\mathbb …
n $ matrices, each defined over a fixed sheet in the Lie algebra $\mathfrak {gl} _n (\mathbb …
Hessenberg varieties of codimension one in the flag variety
L Escobar, M Precup, J Shareshian - arXiv preprint arXiv:2208.06299, 2022 - arxiv.org
We study geometric and topological properties of Hessenberg varieties of codimension one
in the type A flag variety. Our main results:(1) give a formula for the Poincar\'e polynomial,(2) …
in the type A flag variety. Our main results:(1) give a formula for the Poincar\'e polynomial,(2) …
[PDF][PDF] Schubert geometry and combinatorics
A Woo, A Yong - arXiv preprint arXiv:2303.01436, 2023 - arxiv.org
arXiv:2303.01436v1 [math.AG] 2 Mar 2023 Page 1 arXiv:2303.01436v1 [math.AG] 2 Mar
2023 SCHUBERT GEOMETRY AND COMBINATORICS ALEXANDER WOO AND …
2023 SCHUBERT GEOMETRY AND COMBINATORICS ALEXANDER WOO AND …
Which Hessenberg varieties are GKM?
R Goldin, J Tymoczko - arXiv preprint arXiv:2301.09741, 2023 - arxiv.org
Hessenberg varieties $\mathcal {H}(X, H) $ form a class of subvarieties of the flag variety $
G/B $, parameterized by an operator $ X $ and certain subspaces $ H $ of the Lie algebra of …
G/B $, parameterized by an operator $ X $ and certain subspaces $ H $ of the Lie algebra of …