A. Tsuchiya

activity

20152019

most citedGorenstein polytopes with trinomial

h^{*}

-polynomials

3 citations · 3 across the 1 of their papers we have counts for

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math.AC2019

Odd cycles and Hilbert functions of their toric rings

Takayuki Hibi, Akiyoshi Tsuchiya

Studying Hilbert functions of concrete examples of normal toric rings, it is demonstrated that, for each $1 \leq s \leq 5$ , an $O$ -sequence $(h_0, h_1, \ldots, h_{2s-1}) \in \mathb…

math.AC2019

Depth of an initial ideal

Takayuki Hibi, Akiyoshi Tsuchiya

Given an arbitrary integer $d > 0$ , we construct a homogeneous ideal $I$ of the polynomial ring $S = K [x_{1}, \dots, x_{3 d}]$ in $3 d$ variables over a filed $K$ for which $S / I$ is a C…

math.AC2018

The depth of a reflexive polytope

Takayuki Hibi, Akiyoshi Tsuchiya

Given arbitrary integers $d$ and $r$ with $d \geq 4$ and $1 \leq r \leq d + 1$ , a reflexive polytope $P \subset R^{d}$ of dimension $d$ with ${\rm depth} K[\mathca…