Fachbereich Mathematik, Universität-GHS Essen, 45117 Essen, Germany ; Institute of Mathematics, Box 631, Bò Hô, 10000 Hanoi, Vietnam ; Institute of Mathematics, Box 631, Bò Hô, 10000 Hanoi, Vietnam
Abstract:
We prove asymptotic linear bounds for the Castelnuovo-Mumford regularity of certain filtrations of homogeneous ideals whose Rees algebras need not be Noetherian.