Abstract
In this paper, we prove that the Stanley–Reisner ideal of any connected simplicial complex of dimension $\ge2$ 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.
Citation
Naoki Terai. Ken-ichi Yoshida. "Locally complete intersection Stanley–Reisner ideals." Illinois J. Math. 53 (2) 413 - 429, Summer 2009. https://doi.org/10.1215/ijm/1266934785
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