On CW complexes supporting Eliahou-Kervaire type resolutions of Borel fixed ideals
On CW complexes supporting Eliahou-Kervaire type resolutions of Borel fixed ideals
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DOI：
10.1007/s13348-014-0104-0
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发表时间：
2013-04
影响因子：
1.1
通讯作者：
R. Okazaki;Kohji Yanagawa
中科院分区：
文献类型：
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作者：
R. Okazaki;Kohji Yanagawa
我们证明了 Cohen-Macaulay 稳定单项式的 Eliahou-Kervaire 分辨率得到了一个正则 CW 复形的支持，该复形的底层空间是一个封闭的球。我们还表明，Borel 固定理想变体（例如无平方强稳定理想）的修正 Eliahou-Kervaire 分辨率受到常规 CW 复合体的支持，并且它们的底层空间在 Cohen-Macaulay 情况下是封闭的球。
We prove that the Eliahou-Kervaire resolution of a Cohen-Macaulay stable monomial is supported by a regular CW complex whose underlying space is a closed ball. We also show that the modified Eliahou-Kervaire resolutions of variants of a Borel fixed ideal (e.g., a squarefree strongly stable ideal) are supported by regular CW complexes, and their underlying spaces are closed balls in the Cohen-Macaulay case.