Koji Matsushita

collaborators

4 papers

math.AC2025

Standard multigraded Hibi rings and Cartwright-Sturmfels ideals

Koji Matsushita, Koichiro Tani

In this paper, we introduce standard multigradings on Hibi rings, which are algebras arising from posets. We show that any standard multigrading on a Hibi ring that makes its defin…

math.CO2025

Matroid polytopes with small rank

Masato Konoike, Koji Matsushita

For a lattice polytope $P$ , the rank of $P$ is defined by $F - (dim P + 1)$ , where $F$ is the number of facets of $P$ . In this paper, we study matroid polytopes with small rank. More…

math.AC2025

Khovanskii bases of subalgebras arising from finite distributive lattices

Akihiro Higashitani, Koji Matsushita, Koichiro Tani

The notion of Khovanskii bases was introduced by Kaveh and Manon. It is a generalization of the notion of SAGBI bases for a subalgebra of polynomials. The notion of SAGBI bases was…

math.AC2024

Dual $F$ -signatures of Veronese subrings and Segre products of polynomial rings

Koji Matsushita

In this paper, we compute the dual $F$ -signatures of certain toric rings by using combinatorial techniques. Specifically, we calculate the dual $F$ -signatures of Veronese subrings…

Standard multigraded Hibi rings and Cartwright-Sturmfels ideals

Matroid polytopes with small rank

Khovanskii bases of subalgebras arising from finite distributive lattices

Dual F-signatures of Veronese subrings and Segre products of polynomial rings

Dual $F$ -signatures of Veronese subrings and Segre products of polynomial rings