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math.AG2023
Regular semisimple Hessenberg varieties with cohomology rings generated in degree two
Mikiya Masuda, Takashi Sato
A regular semisimple Hessenberg variety is a smooth subvariety of the flag variety determined by a square matrix with distinct eigenvalues and a Hessenberg…
math.AG2022
The second cohomology of regular semisimple Hessenberg varieties from GKM theory
Anton Ayzenberg, Mikiya Masuda, Takashi Sato
We describe the second cohomology of a regular semisimple Hessenberg variety by generators and relations explicitly in terms of GKM theory. The cohomology of a regular semisimple H…