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)

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