On the parameterization of algebraic curves

  title={On the parameterization of algebraic curves},
  author={Xiao-Shan Gao and Shang-Ching Chou},
  journal={Applicable Algebra in Engineering, Communication and Computing},
In this paper, by using the concept of resolvents of a prime ideal introduced by Ritt, we give methods for constructing a hypersurface which is birational to a given irreducible variety and birational transformations between the hypersurface and the variety. In the case of algebraic curves, this implies that for an irreducible algebraic curveC, we can… CONTINUE READING