Implicitization of differential rational parametric equations.
type: Item
instance of: scholarly article
title: Implicitization of differential rational parametric equations.
zbMATH Open document ID: 1048.12006
DOI: 10.1016/S0747-7171(03)00068-3
author: Xiao-Shan Gao
published in: Journal of Symbolic Computation
publication date: 2004-03-14T00:00:00Z
review text: The problem of implicitization for algebraic varieties takes care of finding algorithms to get the ideal of an unirational algebraic variety from a system of parametric equations. This classical problem has been much studied in recent years with the method of Gröbner bases. Here the analogous problem is studied for differential varieties. The definitions of implicit prime ideal of a set of differential rational parametric equations and of characteristic set are given. The following problems are studied and partially solved: to find a characteristic set, to prove the independence of the parameters, to give a reparametrization if the parameters are dependent, to compute the inversion map of a set of differential rational parametric equations.
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 14Q05
Mathematics Subject Classification ID: 14Q10
zbMATH DE Number: 2056565
zbMATH Keywords: implicitization
zbMATH Keywords: differential rational parametric equations
zbMATH Keywords: unirational differential algebraic varieties
zbMATH Keywords: Lüroth theorem
reviewed by: Emilia Mezzetti
MaRDI profile type: Publication
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full work available at URL: s0747-7171(03)00068-3
OpenAlex ID: W2015612966
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description: scientific article; zbMATH DE number 2056565