论文标题

在几乎是科恩·马克劳(Cohen-Macaulay)

On Virtually Cohen-Macaulay Simplicial Complexes

论文作者

Kenshur, Nathan, Lin, Feiyang, McNally, Sean, Xu, Zixuan, Yu, Teresa

论文摘要

我们研究了史丹利 - 赖斯纳(Stanley-Reisner)理想的虚拟决议,用于投影空间的产品。特别是,我们提供了足够的条件,使简单的复合物实际上是Cohen-Macaulay(具有与其编imensimension相同的虚拟分辨率)。我们还表明,所有平衡的简单络合物实际上都是Cohen-Macaulay。

We examine virtual resolutions of Stanley-Reisner ideals for a product of projective spaces. In particular, we provide sufficient conditions for a simplicial complex to be virtually Cohen-Macaulay (to have a virtual resolution with length equal to its codimension). We also show that all balanced simplicial complexes are virtually Cohen-Macaulay.

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