A short proof of Reisner's Theorem on Cohen-Macaulay simplicial complexes

Details A short proof of Reisner's Theorem on Cohen-Macaulay simplicial complexes A short proof of Reisner's Theorem on Cohen-Macaulay simplicial complexes

2005-05-26

arxiv.org/abs/math/0505581v1

Mathematics

Commutative Algebra

6 pages

Scientific paper

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.

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