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.
@article{10_37236_12017,
author = {Thomas Hall and Max K\"olbl and Koji Matsushita and Sora Miyashita},
title = {Nearly {Gorenstein} polytopes},
journal = {The electronic journal of combinatorics},
year = {2023},
volume = {30},
number = {4},
doi = {10.37236/12017},
zbl = {1544.52007},
url = {http://geodesic.mathdoc.fr/articles/10.37236/12017/}
}
TY - JOUR
AU - Thomas Hall
AU - Max Kölbl
AU - Koji Matsushita
AU - Sora Miyashita
TI - Nearly Gorenstein polytopes
JO - The electronic journal of combinatorics
PY - 2023
VL - 30
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.37236/12017/
DO - 10.37236/12017
ID - 10_37236_12017
ER -
%0 Journal Article
%A Thomas Hall
%A Max Kölbl
%A Koji Matsushita
%A Sora Miyashita
%T Nearly Gorenstein polytopes
%J The electronic journal of combinatorics
%D 2023
%V 30
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/12017/
%R 10.37236/12017
%F 10_37236_12017
Thomas Hall; Max Kölbl; Koji Matsushita; Sora Miyashita. Nearly Gorenstein polytopes. The electronic journal of combinatorics, Tome 30 (2023) no. 4. doi: 10.37236/12017
