2012/06/27 by Abdallah Assi, Assi, Abdallah
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.1206.6189
Accepted for publication in the Proceedings of Trento conference on Groups of Automorphisms in Birational and Affine Geometry
arxiv created 2013/10/21 · arxiv updated 2013/10/22
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.