Nearly Gorenstein Polytopes
Combinatorics
2023-03-24 v1 Commutative Algebra
Abstract
In this paper, we study nearly Gorensteinness of Ehrhart rings arising from lattice polytopes. We give necessary conditions and sufficient conditions on lattice polytopes for their Ehrhart rings to be nearly Gorenstein. Using this, we give an efficient method for constructing nearly Gorenstein polytopes. Moreover, we determine the structure of nearly Gorenstein (0, 1)-polytopes and characterise nearly Gorensteinness of edge polytopes and graphic matroids.
Cite
@article{arxiv.2303.13084,
title = {Nearly Gorenstein Polytopes},
author = {Thomas Hall and Max Kölbl and Koji Matsushita and Sora Miyashita},
journal= {arXiv preprint arXiv:2303.13084},
year = {2023}
}
Comments
15 pages, 1 figure, comments are appreciated!