A short proof of Reisner's Theorem on Cohen-Macaulay simplicial complexes
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- May 2005
- DOI:
- 10.48550/arXiv.math/0505581
- arXiv:
- arXiv:math/0505581
- Bibcode:
- 2005math......5581B
- Keywords:
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- Mathematics - Commutative Algebra;
- 13F55;
- 13H10
- E-Print:
- 6 pages