Bounds on the normal Hilbert coefficients

Alberto Corso; Claudia Polini; Maria Evelina Rossi

doi:10.1090/proc/12858

Bounds on the normal Hilbert coefficients

Alberto Corso, Claudia Polini, Maria Evelina Rossi

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper we consider extremal and almost extremal bounds on the normal Hilbert coefficients of 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.

Original language	English
Pages (from-to)	1919-1930
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	5
DOIs	https://doi.org/10.1090/proc/12858
State	Published - May 2016

Bibliographical note

Publisher Copyright:
© 2015 American Mathematical Society.

Keywords

Associated graded rings
Hilbert coefficients
Hilbert functions
Normal filtrations
Sally modules

ASJC Scopus subject areas

Mathematics (all)
Applied Mathematics

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10.1090/proc/12858

Cite this

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title = "Bounds on the normal Hilbert coefficients",

abstract = "In this paper we consider extremal and almost extremal bounds on the normal Hilbert coefficients of 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.",

keywords = "Associated graded rings, Hilbert coefficients, Hilbert functions, Normal filtrations, Sally modules",

author = "Alberto Corso and Claudia Polini and Rossi, {Maria Evelina}",

note = "Publisher Copyright: {\textcopyright} 2015 American Mathematical Society.",

year = "2016",

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doi = "10.1090/proc/12858",

language = "English",

volume = "144",

pages = "1919--1930",

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T1 - Bounds on the normal Hilbert coefficients

AU - Corso, Alberto

AU - Polini, Claudia

AU - Rossi, Maria Evelina

PY - 2016/5

Y1 - 2016/5

N2 - In this paper we consider extremal and almost extremal bounds on the normal Hilbert coefficients of 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.

AB - In this paper we consider extremal and almost extremal bounds on the normal Hilbert coefficients of 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.

KW - Associated graded rings

KW - Hilbert coefficients

KW - Hilbert functions

KW - Normal filtrations

KW - Sally modules

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UR - http://www.scopus.com/inward/citedby.url?scp=84958581874&partnerID=8YFLogxK

U2 - 10.1090/proc/12858

DO - 10.1090/proc/12858

M3 - Article

AN - SCOPUS:84958581874

SN - 0002-9939

VL - 144

SP - 1919

EP - 1930

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 5

ER -

Bounds on the normal Hilbert coefficients

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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