Cohen-Macaulay multigraded modules

Simple item page
dc.creatorChan, C-Y. Jean
dc.creatorCumming, Christine
dc.creatorHa, Huy Tai
dc.date2007-05-13
dc.date.accessioned2026-07-07T08:01:21Z
dc.date.available2026-07-07T08:01:21Z
dc.descriptionLet S be a standard N^r-graded algebra over a local ring A, and let M be a finitely generated Z^r-graded S-module. We characterize the Cohen-Macaulayness of M in terms of the vanishing of certain sheaf cohomology modules. As a consequence, we apply our result to study the Cohen-Macaulayness of multi-Rees modules (also called Rees modification). Our work extends previous studies on the Cohen-Macaulayness of multi-Rees algebras.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0705.1839
dc.identifierhttp://arxiv.org/abs/0705.1839
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128882
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13A30; 13C14; 14B15; 14M05
dc.titleCohen-Macaulay multigraded modules
dc.typetext

Files

Collections

arXiv