Kosuke Shibata

activity

20182026

most citedElementary construction of minimal free resolutions of the Specht ideals of shapes

(n - 2, 2)

and

(d, d, 1)

2 citations · 5 across the 5 of their papers we have counts for

collaborators

6 papers

math.AC2026

Toward the theory on local cohomologies at the ideals given by simplicial posets

Kosuke Shibata, Kohji Yanagawa

For a simplicial poset $P$ , Stanley assigned the face ring $A_{P}$ , which is the quotient of the polynomial ring $S := K [t_{x} ∣ x \in P ∖ {0}]$ by the ideal $I_P…

math.AC2022

Elementary construction of the minimal free resolution of the Specht ideal of shape $(n - d, d)$

Kosuke Shibata, Kohji Yanagawa

Let $K$ be a field with $char (K) = 0$ . 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…

math.AC2020★ 2 cited

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.AC2020★ 2 cited

Regularity of Cohen-Macaulay Specht ideals

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 $λ$ . In the previous paper, the se…

math.AC2018★ 1 cited

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 $deg (m) \leq d$ …

Toward the theory on local cohomologies at the ideals given by simplicial posets

Elementary construction of the minimal free resolution of the Specht ideal of shape (n−d,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

Regularity of Cohen-Macaulay Specht ideals

Alexander duality for the alternative polarizations of strongly stable ideals

Elementary construction of the minimal free resolution of the Specht ideal of shape $(n - d, d)$

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