3 papers
math.AG2025
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…
math.CO2025
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…
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 .…