Generalized resultants over unirational algebraic varieties
type: Item
instance of: scholarly article
title: Generalized resultants over unirational algebraic varieties
zbMATH Open document ID: 0983.14039
author: Laurent Busé
author: Mohamed Elkadi
author: Bernard Mourrain
published in: Journal of Symbolic Computation
publication date: 2000-09-28T00:00:00Z
full work available at URL: main.pdf
review text: In this paper, the authors present a new method based on Bezoutian matrices, to compute a non-trivial multiple of the resultant over a projective variety \(X\) described by a parametrization on an open subset. First, they recall the classical notion of resultant over a variety. Then, they consider the resultant in the case an open set of the variety \(X\) is parametrized. After recalling the construction of Bezoutian matrices and some of their properties, the authors show that, under some conditions, any maximal minor of the associated Bezoutian matrix is divisible by the resultant. Finally, some examples in MAPLE and applications are shown.
reviewed by: Juan Sabia
Mathematics Subject Classification ID: 14M20
Mathematics Subject Classification ID: 14Q10
Mathematics Subject Classification ID: 13F20
zbMATH DE Number: 1471044
zbMATH Keywords: unirational algebraic varieties
zbMATH Keywords: parametrized varieties
zbMATH Keywords: resultant
zbMATH Keywords: Bezoutian matrices
describes a project that uses: Maple
MaRDI profile type: Publication
OpenAlex ID: W2016691347
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DOI: 10.1006/JSCO.1999.0304
description: scientific article; zbMATH DE number 1471044