On the asymptotic linearity of CastelnuovoMumford regularity
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 Rmodule. 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 2002
 DOI:
 10.48550/arXiv.math/0212161
 arXiv:
 arXiv:math/0212161
 Bibcode:
 2002math.....12161V
 Keywords:

 Commutative Algebra
 EPrint:
 7 pages