Year: 2026
Type: preprint
Abstract: A lattice polytope $\mathcal{P} \subset \mathbb{R}^n$ of dimension $n$ is called nearly Gorenstein if $\mathcal{P}$ is normal and if its Ehrhart ring is a nearly Gorenstein ring. We study nearly Gorenstein polytopes arising from discrete polymatroids of bounded powers of edge ideals. Especially, it is shown that every nearly Gorenstein polytope coming from either a complete graph or a complete bipartite graph is level.
Source: arXiv (Cornell University)
Authors: Hibi, Takayuki, Fakhari, Seyed Amin Seyed
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222994268