Hiraku Abe

activity

20122025

most citedGeometry of Hessenberg varieties with applications to Newton-Okounkov bodies

28 citations · 90 across the 19 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.AG2017★ 6 cited

Geometry of regular Hessenberg varieties

Hiraku Abe, Naoki Fujita, Haozhi Zeng

Let $g$ be a complex semisimple Lie algebra. For a regular element $x$ in $g$ and a Hessenberg space $H \subseteq g$ , we consider a regular Hessenbe…

math.AG2017★ 12 cited

The cohomology rings of regular semisimple Hessenberg varieties for $h = (h (1), n, \dots, n)$

Hiraku Abe, Tatsuya Horiguchi, Mikiya Masuda

We investigate the cohomology rings of regular semisimple Hessenberg varieties whose Hessenberg functions are of the form $h = (h (1), n \dots, n)$ in Lie type $A_{n - 1}$ . The main result…

Geometry of regular Hessenberg varieties

The cohomology rings of regular semisimple Hessenberg varieties for h=(h(1),n,…,n)

The cohomology rings of regular semisimple Hessenberg varieties for $h = (h (1), n, \dots, n)$