Shintarô Kuroki

activity

20242026

collaborators

4 papers

math.GT2026

Six-dimensional GKM manifolds with four fixed points

Donghoon Jang, Shintaro Kuroki, Mikiya Masuda +1

In this paper, we study $6$ -dimensional GKM manifolds with $4$ fixed points. We classify all possible GKM graphs, and for each type of graph we construct a manifold, proving the ex…

math.GT2026

Independence of homogeneous GKM manifolds and symmetric spaces

Shintaro Kuroki, Grigory Solomadin

Let $G / H$ be a simply connected homogeneous space of maximal rank. Then the maximal torus $T$ -action on $G / H$ is a GKM manifold. We call the $T$ -action $j$ -independent if any $i(\l…

math.GT2025

Classification of locally standard $T$ -pseudomanifolds over topological stratified pseudomanifolds

Yuya Koike, Shintaro Kuroki

We introduce the notion of a locally standard $T$ -pseudomanifold, a class that generalizes both complete toric varieties and locally standard $T$ -manifolds. The main goal of this p…

math.AG2024

Automorphisms of GKM graphs and regular semisimple Hessenberg varieties

Donghoon Jang, Shintarô Kuroki, Mikiya Masuda +2

A regular semisimple Hessenberg variety $Hess (S, h)$ is a smooth subvariety of the full flag variety $Fl (C^{n})$ associated with a regular semisimple matrix…

Six-dimensional GKM manifolds with four fixed points

Independence of homogeneous GKM manifolds and symmetric spaces

Classification of locally standard T-pseudomanifolds over topological stratified pseudomanifolds

Automorphisms of GKM graphs and regular semisimple Hessenberg varieties

Classification of locally standard $T$ -pseudomanifolds over topological stratified pseudomanifolds