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 2015Show all

2 papers · 1 filter

math.AG2015★ 12 cited

The cohomology rings of regular nilpotent Hessenberg varieties in Lie type A

Hiraku Abe, Megumi Harada, Tatsuya Horiguchi +1

Let $n$ be a fixed positive integer and $h : {1, 2, \dots, n} \to {1, 2, \dots, n}$ a Hessenberg function. The main results of this paper are twofold. First, we give a syste…

math.AG2015

Hessenberg varieties for the minimal nilpotent orbit

Hiraku Abe, Peter Crooks

For a connected, simply-connected complex simple algebraic group $G$ , we examine a class of Hessenberg varieties associated with the minimal nilpotent orbit. In particular, we comp…