In this paper we contribute with one main result to the interesting problem initiated by Hong (1998, J. Symb. Comput. 25, 643â€“663) on the behaviour of GrÃ¶bner bases under composition of polynomials.â€¦ (More)

This paper gives an algorithm for computing proper polynomial parametrizations for a particular class of curves. This class is characterized by the existence of a polynomial parametrization and byâ€¦ (More)

If K is a field, and g, h âˆˆ K(x) are rational functions of degree greater than one, then f = g â—¦ h = g(h) is their (functional) composition, (g, h) is a (functional) decomposition of f , and f is aâ€¦ (More)

In this paper we give an algorithm that detects real singularities, including singularities at infinity, and counts local branches and multiplicities of real rational curves in the affine n-spaceâ€¦ (More)

In this paper we present a method to compute an implicitization of a rational parametrized curve in an affine space over an algebraically closed field. This method is the natural generalization ofâ€¦ (More)