{"title":"Regularity of Koszul modules","authors":"Tony J. Puthenpurakal","doi":"arxiv-2409.11840","DOIUrl":null,"url":null,"abstract":"Let $K$ be a field and let $S = K[X_1, \\ldots, X_n]$. Let $I$ be a graded\nideal in $S$ and let $M$ be a finitely generated graded $S$-module. We give\nupper bounds on the regularity of Koszul homology modules $H_i(I, M)$ for\nseveral classes of $I$ and $M$.","PeriodicalId":501475,"journal":{"name":"arXiv - MATH - Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","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-2409.11840","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
Let $K$ be a field and let $S = K[X_1, \ldots, X_n]$. Let $I$ be a graded
ideal in $S$ and let $M$ be a finitely generated graded $S$-module. We give
upper bounds on the regularity of Koszul homology modules $H_i(I, M)$ for
several classes of $I$ and $M$.
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