Depth of associated graded rings via Hilbert coefficients of ideals

Alberto Corso; Claudia Polini; Maria Evelina Rossi

Depth of associated graded rings via Hilbert coefficients of ideals

Commutative Algebra 2007-05-23 v1

Authors: Alberto Corso , Claudia Polini , Maria Evelina Rossi

Abstract

Given a local Cohen-Macaulay ring $(R, {\mathfrak m})$ , we study the interplay between the integral closedness -- or even the normality -- of an ${\mathfrak m}$ -primary $R$ -ideal $I$ and conditions on the Hilbert coefficients of $I$ . We relate these properties to the depth of the associated graded ring of $I$ .

Keywords

cohen-macaulay ring associated graded ring hilbert coefficients integral closure normality depth primary ideal

Cite

@article{arxiv.math/0304111,
  title  = {Depth of associated graded rings via Hilbert coefficients of ideals},
  author = {Alberto Corso and Claudia Polini and Maria Evelina Rossi},
  journal= {arXiv preprint arXiv:math/0304111},
  year   = {2007}
}

Comments

17 pages. J. Pure and Applied Algebra, to appear

Depth of associated graded rings via Hilbert coefficients of ideals

Abstract

Keywords

Cite

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