3 papers
math.AG2025
Coordinate rings of regular semisimple Hessenberg varieties and cohomology rings of regular nilpotent Hessenberg varieties
Tatsuya Horiguchi
The polynomials are introduced by Abe-Harada-Horiguchi-Masuda to produce an explicit presentation by generators and relations of the cohomology rings of regular nilpotent…
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
Regular nilpotent partial Hessenberg varieties
Tatsuya Horiguchi
Let be a complex semisimple linear algebraic group. Fix a subset of simple roots. Given a lower ideal in positive roots, one can define the regular nilpotent Hessenberg…