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Asymptotic linear bounds for the Castelnuovo-Mumford regularity
Authors:  rgen Herzog     Tuâ  n Hoa   Ngô   Viê  t Trung
Affiliation: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.

Keywords:Castelnuovo-Mumford regularity   reduction number   $a$-invariant   ideal
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