activity
19992025
most citedSemifree circle actions, Bott towers, and quasitoric manifolds

61 citations · 457 across the 64 of their papers we have counts for

collaborators

67 papers

math.CO2025

Symmetric matrices defined by plane vector sequences

Mikiya Masuda

Motivated by a work of Fu-So-Song, we associate a symmetric matrix to a plane vector sequence and give a formula to find the signature of in terms of the sequence .…

math.CO2024

Gamma vectors of partitioned permutohedra

Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato +2

We determine that -vectors of partitioned permutohedra, thereby generalizing a result of Foata and Schützenberger. Our result is closely related to a result of Athanasiadis on t…

math.AG2023

Toric Schubert varieties and directed Dynkin diagrams

Eunjeong Lee, Mikiya Masuda, Seonjeong Park

A flag variety is a homogenous variety where is a simple algebraic group over the complex numbers and is a Boel subgroup of . A Schubert variety is a subvari…

math.AT2023

Modular law through GKM theory

Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato

The solution of Shareshian-Wachs conjecture by Brosnan-Chow and Guay-Paquet tied the graded chromatic symmetric functions on indifference graphs (or unit interval graphs) and the c…

math.AG2023

-cohomological rigidity for smooth toric Fano varieties of Picard number two

Yunhyung Cho, Eunjeong Lee, Mikiya Masuda +1

The -cohomological rigidity conjecture states that two smooth toric Fano varieties are isomorphic as varieties if there is a -preserving isomorphism between their integra…

math.AG2023

Regular semisimple Hessenberg varieties with cohomology rings generated in degree two

Mikiya Masuda, Takashi Sato

A regular semisimple Hessenberg variety is a smooth subvariety of the flag variety determined by a square matrix with distinct eigenvalues and a Hessenberg…