Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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Castelnuovo–Mumford regularity of associated graded modules in dimension one

Le Xuan Dung

pp. 541-550

Abstract

An upper bound for the Castelnuovo–Mumford regularity of the associated graded module of an one-dimensional module is given in term of its Hilbert coefficients. It is also investigated when the bound is attained.