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arXiv · 2407.20129

Lyubeznik tables of $S_r$ and $CM_r$ rings

Josep Àlvarez Montaner·Siamak Yassemi
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Abstract

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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Josep Àlvarez Montaner, Siamak Yassemi. 2024-07-29. Lyubeznik tables of $S_r$ and $CM_r$ rings. https://arxiv.org/abs/2407.20129

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