Kosuke Shibata

collaborators

3 papers

math.AC2020

Elementary construction of minimal free resolutions of the Specht ideals of shapes $(n - 2, 2)$ and $(d, d, 1)$

Kosuke Shibata, Kohji Yanagawa

For a partition $λ$ of $n \in N$ , let $I_{λ}^{Sp}$ be the ideal of $R = K [x_{1}, \dots, x_{n}]$ generated by all Specht polynomials of shape $λ$ . We assume that ${\rm char}(K)=…

math.AC2020

Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs

Seyed Amin Seyed Fakhari, Kosuke Shibata, Naoki Terai +1

We characterize unmixed and Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs. We also provide examples of oriented graphs which have unmixed and non-Cohen-Macau…

math.AC2018

Alexander duality for the alternative polarizations of strongly stable ideals

Kosuke Shibata, Kohji Yanagawa

We will define the Alexander duality for strongly stable ideals. More precisely, for a strongly stable ideal $I \subset k [x_{1}, \dots, x_{n}]$ with $deg (m) \leq d$ …

Elementary construction of minimal free resolutions of the Specht ideals of shapes (n−2,2) and (d,d,1)

Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs

Alexander duality for the alternative polarizations of strongly stable ideals

Elementary construction of minimal free resolutions of the Specht ideals of shapes $(n - 2, 2)$ and $(d, d, 1)$