Licci squarefree monomial ideals generated in degree two or with deviation two
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- 作者：Kyouko Kimura ; Naoki Terai ; Ken-ichi Yoshida
- 关键词：Monomial ideal ; Edge ideal ; Hypergraph ; Linkage ; Licci ; Deviation ; Cohen&ndash ; Macaulay ring
- 刊名：Journal of Algebra
- 出版年：2013
- 出版时间：15 September, 2013
- 年：2013
- 卷：390
- 期：Complete
- 页码：264-289
- 全文大小：816 K
文摘
We study squarefree monomial ideals which are in the linkage class of a complete intersection (we call such an ideal licci). Firstly we classify all licci edge ideals. Secondly we prove that any Cohen-Macaulay almost complete intersection squarefree monomial ideal is licci. Thirdly we characterize licci squarefree monomial ideals of deviation 2 in terms of hypergraphs associated to the ideals as an application of the classification in Kimura, Terai and Yoshida (2009) .