Stellar subdivisions and Stanley-Reisner rings of Gorenstein complexes
Commutative Algebra
2013-09-24 v2 Combinatorics
Abstract
Unprojection theory aims to analyze and construct complicated commutative rings in terms of simpler ones. Our main result is that, on the algebraic level of Stanley-Reisner rings, stellar subdivisions of non-acyclic Gorenstein simplicial complexes correspond to unprojections of type Kustin-Miller. As an application, we inductively calculate the minimal graded free resolutions of Stanley-Reisner rings associated to stacked polytopes, recovering results of Terai, Hibi, Herzog and Li Marzi.
Keywords
Cite
@article{arxiv.0912.2151,
title = {Stellar subdivisions and Stanley-Reisner rings of Gorenstein complexes},
author = {Janko Boehm and Stavros Argyrios Papadakis},
journal= {arXiv preprint arXiv:0912.2151},
year = {2013}
}
Comments
v2: minor improvements, 14 pages, 1 figure