Algebraic and algorithmic aspects of radical parametrizations

In this article algebraic constructions are introduced in order to study the variety defined by a radical parametrization (a tuple of functions involving complex numbers, \(n\) variables, the four field operations and radical extractions). We provide algorithms to implicitize radical parametrization...

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Bibliographic Details
Published in:arXiv.org 2017-02
Main Authors: Sendra, J Rafael, Sevilla, David, Villarino, Carlos
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Complex numbers
Complex variables
Mathematical analysis
Parameterization
Online Access:Get full text
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Summary:In this article algebraic constructions are introduced in order to study the variety defined by a radical parametrization (a tuple of functions involving complex numbers, \(n\) variables, the four field operations and radical extractions). We provide algorithms to implicitize radical parametrizations and to check whether a radical parametrization can be reparametrized into a rational parametrization.
ISSN:2331-8422
DOI:10.48550/arxiv.1609.09760