On Symbolic Parametrization of Algebraic Curves

نویسنده

  • Franz Winkler
چکیده

In this paper we give an overview of the symbolic computation of rational parametrizations for algebraic curves. Parametrization of algebraic curves has been a topic in algebraic geometry for a long time and there are basically two approaches to the problem. The first approach is a geometric one, whereby a parametrization is determined from the intersection points of the given curve with a certain linear system of algebraic curves. The second one is an algebraic one involving the computation of integral bases. Our own research has mainly been on the first of these approaches, so will stress the geometric approach.

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تاریخ انتشار 2009