Implicitization of differential rational parametric equations
In this paper, we propose algorithms for the following problems in the implicitization of a set of differential rational parametric equationsP. (1)To find a characteristic set for the implicit prime ideal of P. (2)To find a canonical representation for the image of P. (3)To decide whether the parameters of P are independent, and if not, to re-parameterize P so that the new parametric equations have independent parameters. (4)To compute the inversion maps of P, and as a consequence, to decide whether P is proper. If the implicit variety is of dimension one and P is not proper, to find a proper re-parameterization forP.
implicitization differential rational parametric equations unirational differential algebraic varieties lroth theorem