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

Silvano Baggio

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

Silvano Baggio

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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.

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Silvano Baggio. 2005-05-26. A short proof of Reisner's Theorem on Cohen-Macaulay simplicial complexes. https://arxiv.org/abs/math/0505581

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