English

Bounds on the normal Hilbert coefficients

Commutative Algebra 2014-10-17 v1

Abstract

In this paper we consider extremal and almost extremal bounds on the normal Hilbert coefficients of m{\mathfrak m}-primary ideals of an analytically unramified Cohen-Macaulay ring RR of dimension d>0d>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.

Keywords

Cite

@article{arxiv.1410.4233,
  title  = {Bounds on the normal Hilbert coefficients},
  author = {Alberto Corso and Claudia Polini and Maria Evelina Rossi},
  journal= {arXiv preprint arXiv:1410.4233},
  year   = {2014}
}
R2 v1 2026-06-22T06:25:13.090Z