On the asymptotic linearity of Castelnuovo-Mumford regularity

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dc.creatorTrung, Ngo Viet
dc.creatorWang, Hsin-Ju
dc.date2002-12-11
dc.date.accessioned2026-07-07T04:53:43Z
dc.date.available2026-07-07T04:53:43Z
dc.descriptionLet R be a standard graded ring over a commutative Noetherian ring with unity and I a graded ideal of R. Let M be a finitely generated graded R-module. We prove that there exist integers e and ρ_M(I) such that for all large n, reg(I^nM)= ρ_M(I)n+e.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0212161
dc.identifierhttp://arxiv.org/abs/math/0212161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65961
dc.subjectCommutative Algebra
dc.titleOn the asymptotic linearity of Castelnuovo-Mumford regularity
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