On the asymptotic linearity of Castelnuovo-Mumford regularity
Commutative Algebra
2007-05-23 v1
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 \rho_M(I) such that for all large n, reg(I^nM)= \rho_M(I)n+e.
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Cite
@article{arxiv.math/0212161,
title = {On the asymptotic linearity of Castelnuovo-Mumford regularity},
author = {Ngo Viet Trung and Hsin-Ju Wang},
journal= {arXiv preprint arXiv:math/0212161},
year = {2007}
}
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7 pages