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math.AG2025
Notes on the cohomology of partial Hessenberg varieties
Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato +1
Hessenberg varieties are a family of subvarieties of full flag varieties. This family contains well-known varieties such as Springer fibers, Peterson varieties, and permutohedral v…
math.AG2024
Automorphisms of GKM graphs and regular semisimple Hessenberg varieties
Donghoon Jang, Shintarô Kuroki, Mikiya Masuda +2
A regular semisimple Hessenberg variety is a smooth subvariety of the full flag variety associated with a regular semisimple matrix…
math.AG2016★ 16 cited
Hessenberg varieties and hyperplane arrangements
Takuro Abe, Tatsuya Horiguchi, Mikiya Masuda +2
Given a semisimple complex linear algebraic group and a lower ideal in positive roots of , three objects arise: the ideal arrangement , the regular nilpot…