3 papers
math.GT2026
Six-dimensional GKM manifolds with four fixed points
Donghoon Jang, Shintaro Kuroki, Mikiya Masuda +1
In this paper, we study -dimensional GKM manifolds with fixed points. We classify all possible GKM graphs, and for each type of graph we construct a manifold, proving the ex…
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…