A. Tsuchiya

activity

19942026

most citedA Unified Approach to Solvable Models of Dilaton Gravity in Two-Dimensions Based on Symmetry

18 citations · 176 across the 52 of their papers we have counts for

collaborators

Showing 2016Show all

6 papers · 1 filter

math.CO2016★ 1 cited

Gorenstein properties and integer decomposition properties of lecture hall polytopes

Takayuki Hibi, McCabe Olsen, Akiyoshi Tsuchiya

Though much is known about $s$ -lecture hall polytopes, there are still many unanswered questions. In this paper, we show that $s$ -lecture hall polytopes satisfy the int…

math.AC2016★ 1 cited

Nonincreasing depth functions of monomial ideals

Kazunori Matsuda, Tao Suzuki, Akiyoshi Tsuchiya

Given a nonincreasing function $f : Z_{\geq 0} ∖ {0} \to Z_{\geq 0}$ such that (i) $f (k) - f (k + 1) \leq 1$ for all $k \geq 1$ and (ii) if $a = f (1)$ an…

math.CO2016

Self dual reflexive simplices with Eulerian polynomials

Takayuki Hibi, McCabe Olsen, Akiyoshi Tsuchiya

A lattice polytope $P$ is called reflexive if its dual $P^{\lor}$ is a lattice polytope. The property that $P$ is unimodularly equivalent to $\mathcal{P…

math.CO2016★ 14 cited

Facets and volume of Gorenstein Fano polytopes

Takayuki Hibi, Akiyoshi Tsuchiya

It is known that every integral convex polytope is unimodularly equivalent to a face of some Gorenstein Fano polytope. It is then reasonable to ask whether every normal polytope is…

math.CO2016

Flat $δ$ -vectors and their Ehrhart polynomials

Takayuki Hibi, Akiyoshi Tsuchiya

We call the $δ$ -vector of an integral convex polytope of dimension $d$ flat if the $δ$ -vector is of the form $(1, 0, \dots, 0, a, \dots, a, 0, \dots, 0)$ , where $a \geq 1$ . In this paper…

math.AC2016

On the sign patterns of the coefficients of Hilbert polynomials

Akiyoshi Tsuchiya

We show that all sign patterns of the coefficients Hilbert polynomials of standard graded $k$ -algebras are possible.