Hilbert coefficients of good I-Filtrations of modules

2024/01/09 by Dung, Le Xuan
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.04668

Abstract

Let M be a finitely generated module of dimention d over a Noetherian local ring (A,m) and I an m-primary ideal. Let be a pair of good I-filtrations F and F' of M. We show that the Hilbert coefficients e_i(F) are bounded below and above in terms of i, e₀(F'),...,e_i(F'), and reduction numbers of F and F', for all i ≥ 1.

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