On the asymptotic linearity of Castelnuovo–Mumford regularity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2005Embargo end date: 01 Jan 2002 English Publisher:Elsevier BVJournal:Journal of Pure and Applied Algebra, volume 201, pages 42-48 (issn: 0022-4049,

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Authors: Trung, Ngô Viêt; Wang, Hsin-Ju;

doi: 10.1016/j.jpaa.2004.12.043 , 10.48550/arxiv.math/0212161

arXiv: math/0212161

On the asymptotic linearity of Castelnuovo–Mumford regularity

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Abstract

Let 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.

7 pages

Related Organizations

Institute of Mathematics
Viet Nam
National Chung Cheng University
Taiwan

Keywords

Algebra and Number Theory, Local cohomology and commutative rings, FOS: Mathematics, Mathematics - Commutative Algebra, Commutative Algebra (math.AC)

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