A computation of Buchsbaum-Rim functions of two variables in a special case

Futoshi Hayasaka

doi:10.1216/RMJ-2016-46-5-1547

A computation of Buchsbaum-Rim functions of two variables in a special case

Futoshi Hayasaka

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

2 Citations (Scopus)

Abstract

In this paper, we will compute Buchsbaum- Rim functions of two variables associated to a parameter matrix of a special form over a one-dimensional Cohen- Macaulay local ring, and we will determine when the function coincides with the Buchsbaum-Rim polynomial. As a consequence, we have that there exists the case where the function does not coincide with the polynomial function, which should be contrasted with the ordinary Buchsbaum- Rim function of single variable.

Original language	English
Pages (from-to)	1547-1557
Number of pages	11
Journal	Rocky Mountain Journal of Mathematics
Volume	46
Issue number	5
DOIs	https://doi.org/10.1216/RMJ-2016-46-5-1547
Publication status	Published - 2016
Externally published	Yes

Keywords

Buchsbaum-Rim multiplicity
Cohen- Macaulay
Parameter matrix

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1216/RMJ-2016-46-5-1547

Fingerprint Dive into the research topics of 'A computation of Buchsbaum-Rim functions of two variables in a special case'. Together they form a unique fingerprint.

Cite this

@article{4060e9a51706402bad2cfa353f0d4705,

title = "A computation of Buchsbaum-Rim functions of two variables in a special case",

abstract = "In this paper, we will compute Buchsbaum- Rim functions of two variables associated to a parameter matrix of a special form over a one-dimensional Cohen- Macaulay local ring, and we will determine when the function coincides with the Buchsbaum-Rim polynomial. As a consequence, we have that there exists the case where the function does not coincide with the polynomial function, which should be contrasted with the ordinary Buchsbaum- Rim function of single variable.",

keywords = "Buchsbaum-Rim multiplicity, Cohen- Macaulay, Parameter matrix",

author = "Futoshi Hayasaka",

year = "2016",

doi = "10.1216/RMJ-2016-46-5-1547",

language = "English",

volume = "46",

pages = "1547--1557",

journal = "Rocky Mountain Journal of Mathematics",

issn = "0035-7596",

publisher = "Rocky Mountain Mathematics Consortium",

number = "5",

}

TY - JOUR

T1 - A computation of Buchsbaum-Rim functions of two variables in a special case

AU - Hayasaka, Futoshi

PY - 2016

Y1 - 2016

N2 - In this paper, we will compute Buchsbaum- Rim functions of two variables associated to a parameter matrix of a special form over a one-dimensional Cohen- Macaulay local ring, and we will determine when the function coincides with the Buchsbaum-Rim polynomial. As a consequence, we have that there exists the case where the function does not coincide with the polynomial function, which should be contrasted with the ordinary Buchsbaum- Rim function of single variable.

AB - In this paper, we will compute Buchsbaum- Rim functions of two variables associated to a parameter matrix of a special form over a one-dimensional Cohen- Macaulay local ring, and we will determine when the function coincides with the Buchsbaum-Rim polynomial. As a consequence, we have that there exists the case where the function does not coincide with the polynomial function, which should be contrasted with the ordinary Buchsbaum- Rim function of single variable.

KW - Buchsbaum-Rim multiplicity

KW - Cohen- Macaulay

KW - Parameter matrix

UR - http://www.scopus.com/inward/record.url?scp=85006412358&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85006412358&partnerID=8YFLogxK

U2 - 10.1216/RMJ-2016-46-5-1547

DO - 10.1216/RMJ-2016-46-5-1547

M3 - Article

AN - SCOPUS:85006412358

VL - 46

SP - 1547

EP - 1557

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

SN - 0035-7596

IS - 5

ER -

A computation of Buchsbaum-Rim functions of two variables in a special case

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this