16 citations · 44 across the 28 of their papers we have counts for
28 papers
Non-Gorenstein locus and almost Gorenstein property of the Ehrhart ring of the stable set polytope of a cycle graph
Mitsuhiro Miyazaki
Let be the Ehrhart ring of the stable set polytope of a cycle graph which is not Gorenstein. We describe the non-Gorenstein locus of . Further, we show that $R…
Gorenstein on the punctured spectrum and nearly Gorenstein property of the Ehrhart ring of the stable set polytope of an h-perfect graph
Mitsuhiro Miyazaki
In this paper, we give a criterion of the nearly Gorenstein property of the Ehrhart ring of the stable set polytope of an h-perfect graph: the Ehrhart ring of the stable set polyto…
Non-Gorenstein loci of Ehrhart rings of chain and order polytopes
Mitsuhiro Miyazaki, Janet Page
Let be a finite poset, a field, and (resp. ) the order (resp. chain) polytope of . We study the non-Gorenstein locus of (resp. ), the…
On the Gorenstein property of the Ehrhart ring of the stable set polytope of an h-perfect graph
Mitsuhiro Miyazaki
In this paper, we give a criterion of the Gorenstein property of the Ehrhart ring of the stable set polytope of an h-perfect graph: the Ehrhart ring of the stable set polytope of a…
On the canonical ideal of the Ehrhart ring of the chain polytope of a poset
Mitsuhiro Miyazaki
Let P be a poset, O(P) the order polytope of P and C(P) the chain polytope of P. In this paper, we study the canonical ideal of the Ehrhart ring K[C(P)] of C(P) over a field K and…
Fiber cones, analytic spreads of the canonical and anticanonical ideals and limit Frobenius complexity of Hibi rings
Mitsuhiro Miyazaki
Let be the Hibi ring over a field on a finite distributive lattice , the set of join-irreducible elements of and the canonica…