Locally complete intersection Stanley–Reisner ideals
Locally complete intersection Stanley–Reisner ideals
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DOI：
10.1215/ijm/1266934785
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发表时间：
2009-01
影响因子：
0.6
通讯作者：
N. Terai;KEN-ICHI Yoshida
中科院分区：
文献类型：
--
作者：
N. Terai;KEN-ICHI Yoshida
本文证明了任意局部完全交的2维连通单纯复形的Stanley-Reisner理想是完全交理想。作为应用，我们证明了幂为Buchsbaum的Stanley-Reisner理想是完全交理想.
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.