Algebraic and algorithmic aspects of radical parametrizations
Algebraic Geometry
2017-02-02 v2 Symbolic Computation
Abstract
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, 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.
Cite
@article{arxiv.1609.09760,
title = {Algebraic and algorithmic aspects of radical parametrizations},
author = {J. Rafael Sendra and David Sevilla and Carlos Villarino},
journal= {arXiv preprint arXiv:1609.09760},
year = {2017}
}
Comments
26 pages; revised version accepted for publication in Computer Aided Geometric Design