S_r$和CM_r$环的柳贝兹尼克表

arXiv - MATH - Commutative Algebra Pub Date : 2024-07-29 DOI:arxiv-2407.20129

Josep Àlvarez Montaner, Siamak Yassemi

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引用次数: 0

摘要

我们描述了正特征环或任意特征的斯坦利-赖斯纳环在满足塞雷条件 $S_r$ 或在给定标度（条件用 $CM_r$ 表示）的科恩-麦考莱条件时的柳贝兹尼克表的形状。此外，我们还证明了这些结果是尖锐的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lyubeznik tables of $S_r$ and $CM_r$ rings

We describe the shape of the Lyubeznik table of either rings in positive characteristic or Stanley-Reisner rings in any characteristic when they satisfy Serre's condition $S_r$ or they are Cohen-Macaulay in a given codimension, condition denoted by $CM_r$. Moreover we show that these results are sharp.

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arXiv - MATH - Commutative Algebra

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