Level property of ordinary and symbolic powers of Stanley-Reisner ideals
Level property of ordinary and symbolic powers of Stanley-Reisner ideals
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斯坦利-赖斯纳理想的普通权力和象征权力的水平属性
DOI：
10.1016/j.jalgebra.2019.05.044
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发表时间：
2019
影响因子：
0.9
通讯作者：
Thuy Phan Thi
中科院分区：
文献类型：
--
作者：
Minh Nguyen Cong;Terai Naoki;Thuy Phan Thi
本文证明了Stanley-Reisner理想的t次普通幂和/或符号幂是水平的当且仅当I Δ是完全交且是等生成的.当t= 2时，当Δ是一维拟阵复形时，给出了第二符号幂I Δ（2）的水平性质的一个刻划.
In this paper, we prove that the t-th ordinary and/or symbolic power of a Stanley-Reisner ideal is level for some positive integer t≥ 3 if and only if I Δ is a complete intersection and equi-generated. For t= 2, we give a characterization of level property of the second symbolic power I Δ (2) when Δ is a matroid complex of dimension one.