Locally complete intersection Stanley-Reisner ideals
classification
🧮 math.AC
math.CO
keywords
completeidealintersectionlocallystanley--reisnerapplicationbuchsbaumcomplex
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In this paper, we prove that the Stanley--Reisner ideal of any connected simplicial complex of dimension $\ge 2$ that is locally complete intersection is a complete intersection ideal. As an application, we show that the Stanley--Reisner ideal whose powers are Buchsbaum is a complete intersection ideal.
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