3 papers
math.AG2020
Fano and weak Fano Hessenberg varieties
Hiraku Abe, Naoki Fujita, Haozhi Zeng
Regular semisimple Hessenberg varieties are smooth subvarieties of the flag variety, and their examples contain the flag variety itself and the permutohedral variety which is a tor…
math.AG2019
A survey of recent developments on Hessenberg varieties
Hiraku Abe, Tatsuya Horiguchi
This article surveys recent developments on Hessenberg varieties, emphasizing some of the rich connections of their cohomology and combinatorics. In particular, we will see how hyp…
math.AG2018
Hessenberg varieties, Slodowy slices, and integrable systems
Hiraku Abe, Peter Crooks
This work is intended to contextualize and enhance certain well-studied relationships between Hessenberg varieties and the Toda lattice, thereby building on the results of Kostant,…