Parametrizing Algebraic Curves [article]

Franz Lemmermeyer
2011 arXiv   pre-print
We present the technique of parametrization of plane algebraic curves from a number theorist's point of view and present Kapferer's simple and beautiful (but little known) proof that nonsingular curves of degree > 2 cannot be parametrized by rational functions.
arXiv:1108.6219v1 fatcat:viz5kjt6vjbl3jue3vfawx2n3e