Rational curves with one place at infinity
Algebraic Geometry
2013-10-22 v2
Abstract
Let K be an algebraically closed field of characteristic zero. Given a polynomial f(x,y) in K[x,y] with one place at infinity, we prove that either f is equivalent to a coordinate, or the family (f+c) has at most two rational elements. When (f+c) has two rational elements, we give a description of the singularities of these elements.
Cite
@article{arxiv.1206.6189,
title = {Rational curves with one place at infinity},
author = {Abdallah Assi},
journal= {arXiv preprint arXiv:1206.6189},
year = {2013}
}
Comments
Accepted for publication in the Proceedings of Trento conference on Groups of Automorphisms in Birational and Affine Geometry