A short proof of Reisner's Theorem on Cohen-Macaulay simplicial complexes
Commutative Algebra
2016-09-07 v1
Abstract
We present a short proof of Reisner's Theorem, characterizing which simplicial complexes have a Cohen-Macaulay face ring. In some cases, we can also express some homological invariants of the face ring in terms of the reduced homology of the complex.
Keywords
Cite
@article{arxiv.math/0505581,
title = {A short proof of Reisner's Theorem on Cohen-Macaulay simplicial complexes},
author = {Silvano Baggio},
journal= {arXiv preprint arXiv:math/0505581},
year = {2016}
}
Comments
6 pages