Parametrizing Algebraic Curves
Number Theory
2011-09-01 v1
Abstract
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.
Cite
@article{arxiv.1108.6219,
title = {Parametrizing Algebraic Curves},
author = {Franz Lemmermeyer},
journal= {arXiv preprint arXiv:1108.6219},
year = {2011}
}