{"title":"Lyubeznik tables of $S_r$ and $CM_r$ rings","authors":"Josep Àlvarez Montaner, Siamak Yassemi","doi":"arxiv-2407.20129","DOIUrl":null,"url":null,"abstract":"We describe the shape of the Lyubeznik table of either rings in positive\ncharacteristic or Stanley-Reisner rings in any characteristic when they satisfy\nSerre's condition $S_r$ or they are Cohen-Macaulay in a given codimension,\ncondition denoted by $CM_r$. Moreover we show that these results are sharp.","PeriodicalId":501475,"journal":{"name":"arXiv - MATH - Commutative Algebra","volume":"213 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Commutative Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.20129","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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