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Acta Mathematica Vietnamica

Castelnuovo–Mumford regularity of associated graded modules in dimension one

icon-email Le Xuan Dung

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.

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Viện Hàn lâm Khoa học và Công nghệ Việt Nam Hội Toán học Việt Nam Viện Nghiên cứu Cao cấp về toán MathScinet Arxiv