On Stanley-Reisner rings with linear resolution
Commutative Algebra
2023-11-07 v1
Abstract
For a graph , Bayer-Denker-Milutinovi\'c-Rowlands-Sundaram-Xue study in \cite{B-D-M-R-S-X} a new graph complex , namely the simplicial complex with facets that are complements to independent sets of size in . They are interested in topological properties such as shellability, vertex decomposability, homotopy type, and homology of these complexes. In this paper we study more algebraic properties, such as Cohen-Macaulayness, Betti numbers, and linear resolutions of the Stanley-Reisner ring of these complexes and their Alexander duals.
Keywords
Cite
@article{arxiv.2311.02575,
title = {On Stanley-Reisner rings with linear resolution},
author = {Ralf Froberg},
journal= {arXiv preprint arXiv:2311.02575},
year = {2023}
}