Asymptotic vanishing of homogeneous components of multigraded modules and its applications

Futoshi Hayasaka

doi:10.1016/j.jalgebra.2018.07.022

Asymptotic vanishing of homogeneous components of multigraded modules and its applications

Futoshi Hayasaka

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

2 Citations (Scopus)

Abstract

In this article, we give a condition on the vanishing of finitely many homogeneous components which must imply the asymptotic vanishing for multigraded modules. We apply our result to multi-Rees algebras of ideals. As a consequence, we obtain a result on normality of monomial ideals, which extends and improves the results of Reid, Roberts and Vitulli [14], Singla [16], and Sarkar and Verma [15].

Original language	English
Pages (from-to)	1-26
Number of pages	26
Journal	Journal of Algebra
Volume	513
DOIs	https://doi.org/10.1016/j.jalgebra.2018.07.022
Publication status	Published - Nov 1 2018

Keywords

Integral closure
Monomial ideals
Multigraded modules
Spread

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jalgebra.2018.07.022

Cite this

@article{60acd1f93128489b8497186c94126668,

title = "Asymptotic vanishing of homogeneous components of multigraded modules and its applications",

abstract = "In this article, we give a condition on the vanishing of finitely many homogeneous components which must imply the asymptotic vanishing for multigraded modules. We apply our result to multi-Rees algebras of ideals. As a consequence, we obtain a result on normality of monomial ideals, which extends and improves the results of Reid, Roberts and Vitulli [14], Singla [16], and Sarkar and Verma [15].",

keywords = "Integral closure, Monomial ideals, Multigraded modules, Spread",

author = "Futoshi Hayasaka",

year = "2018",

month = nov,

day = "1",

doi = "10.1016/j.jalgebra.2018.07.022",

language = "English",

volume = "513",

pages = "1--26",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Asymptotic vanishing of homogeneous components of multigraded modules and its applications

AU - Hayasaka, Futoshi

PY - 2018/11/1

Y1 - 2018/11/1

N2 - In this article, we give a condition on the vanishing of finitely many homogeneous components which must imply the asymptotic vanishing for multigraded modules. We apply our result to multi-Rees algebras of ideals. As a consequence, we obtain a result on normality of monomial ideals, which extends and improves the results of Reid, Roberts and Vitulli [14], Singla [16], and Sarkar and Verma [15].

AB - In this article, we give a condition on the vanishing of finitely many homogeneous components which must imply the asymptotic vanishing for multigraded modules. We apply our result to multi-Rees algebras of ideals. As a consequence, we obtain a result on normality of monomial ideals, which extends and improves the results of Reid, Roberts and Vitulli [14], Singla [16], and Sarkar and Verma [15].

KW - Integral closure

KW - Monomial ideals

KW - Multigraded modules

KW - Spread

UR - http://www.scopus.com/inward/record.url?scp=85050692847&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85050692847&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2018.07.022

DO - 10.1016/j.jalgebra.2018.07.022

M3 - Article

AN - SCOPUS:85050692847

SN - 0021-8693

VL - 513

SP - 1

EP - 26

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Asymptotic vanishing of homogeneous components of multigraded modules and its applications

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this