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

9 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.

Funding

Funders	Funder number
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	1202685

Keywords

Associated graded rings
Hilbert coefficients
Hilbert functions
Normal filtrations
Sally modules

ASJC Scopus subject areas

General Mathematics
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\}",

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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

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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