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

2005/05/26 by Silvano Baggio, Baggio, Silvano
Mathematics · #13F55 #13H10 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.math/0505581

openalex publication_date 2005/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a short proof of Reisner's Theorem, characterizing which\nsimplicial complexes have a Cohen-Macaulay face ring. In some cases, we can\nalso express some homological invariants of the face ring in terms of the\nreduced homology of the complex.\n

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