Lyubeznik tables of $S_r$ and $CM_r$ rings

Fuente: arXiv
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Hauptverfasser: Montaner, Josep Àlvarez, Yassemi, Siamak
Format: Preprint
Veröffentlicht: 2024
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author Montaner, Josep Àlvarez
Yassemi, Siamak
author_facet Montaner, Josep Àlvarez
Yassemi, Siamak
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_20129
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Lyubeznik tables of $S_r$ and $CM_r$ rings
Montaner, Josep Àlvarez
Yassemi, Siamak
Commutative Algebra
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.
title Lyubeznik tables of $S_r$ and $CM_r$ rings
topic Commutative Algebra
url https://arxiv.org/abs/2407.20129