A short proof of Reisner's Theorem on CohenMacaulay simplicial complexes
Abstract
We present a short proof of Reisner's Theorem, characterizing which simplicial complexes have a CohenMacaulay 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 2005
 DOI:
 10.48550/arXiv.math/0505581
 arXiv:
 arXiv:math/0505581
 Bibcode:
 2005math......5581B
 Keywords:

 Mathematics  Commutative Algebra;
 13F55;
 13H10
 EPrint:
 6 pages