Multivariate subresultants
type: Item
instance of: scholarly article
title: Multivariate subresultants
zbMATH Open document ID: 0838.12001
DOI: 10.1016/0022-4049(95)90926-C
author: Marc Chardin
published in: Journal of Pure and Applied Algebra
publication date: 1996-06-04T00:00:00Z
review text: A far-reaching generalization of the term resultant of two polynomials in one variable is given, not only including multivariate resultants as a special case but also subresultants of two polynomials. The notion of multivariate subresultants is defined for \(s\) homogeneous polynomials in \(n \geq s\) indeterminates. Some general properties are derived and two examples are computed.
Mathematics Subject Classification ID: 12E10
Mathematics Subject Classification ID: 13B25
zbMATH DE Number: 802555
zbMATH Keywords: Hilbert function
zbMATH Keywords: multivariate resultants
zbMATH Keywords: subresultants
zbMATH Keywords: homogeneous polynomials
reviewed by: Gerhard Kowol
MaRDI profile type: Publication
cites work: Q3338360
cites work: Q3135195
cites work: Q3983707
cites work: Q5789115
cites work: Ideaux resultants
cites work: Le formalisme du résultant. (The formalism of resultant)
cites work: Invariant aspects of elimination
cites work: Q4293528
cites work: Q3265726
full work available at URL: 0022-4049(95)90926-c
OpenAlex ID: W4210772217
description: scientific article; zbMATH DE number 802555