A. Higashitani

activity

20092023

most citedArithmetic aspects of symmetric edge polytopes

30 citations · 184 across the 67 of their papers we have counts for

collaborators

Showing 2015 · math.COShow all

3 papers · 2 filters

math.CO2015★ 4 cited

Ehrhart polynomials with negative coefficients

Takayuki Hibi, Akihiro Higashitani, Akiyoshi Tsuchiya +1

It is shown that, for each $d \geq 4$ , there exists an integral convex polytope $P$ of dimension $d$ such that each of the coefficients of $n, n^{2}, \dots, n^{d - 2}$ of…

math.CO2015★ 2 cited

Ehrhart polynomial roots of reflexive polytopes

Gábor Hegedüs, Akihiro Higashitani, Alexander Kasprzyk

Recent work has focused on the roots z of the Ehrhart polynomial of a lattice polytope P. The case when Re(z) = -1/2 is of particular interest: these polytopes satisfy Golyshev's "…

math.CO2015★ 3 cited

Gorenstein polytopes with trinomial $h^{*}$ -polynomials

Akihiro Higashitani, Benjamin Nill, Akiyoshi Tsuchiya

The characterization of lattice polytopes based upon information about their Ehrhart $h^{*}$ -polynomials is a difficult open problem. In this paper, we finish the classification of l…

Ehrhart polynomials with negative coefficients

Ehrhart polynomial roots of reflexive polytopes

Gorenstein polytopes with trinomial h∗-polynomials

Gorenstein polytopes with trinomial $h^{*}$ -polynomials