Bounds on the normal Hilbert coefficients

Abstract

In this paper we consider extremal and almost extremal bounds on the normal Hilbert coefficients of $\mathfrak{m}$-primary ideals of an analytically unramified Cohen-Macaulay ring $R$ of dimension $d>0$ and infinite residue field. In these circumstances we show that the associated graded ring of the normal filtration of the ideal is either Cohen-Macaulay or almost Cohen-Macaulay.

References in corpus (1)

• Normal Hilbert Polynomials : A survey

Cited by in corpus (1)

• The Sally Modules of Ideals: A Survey