Rational curves with one place at infinity - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

Rational curves with one place at infinity


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.
Fichier principal
Vignette du fichier
rationaloneplacenewversion.pdf (87.08 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00712409 , version 1 (27-06-2012)
hal-00712409 , version 2 (21-10-2013)



Abdallah Assi. Rational curves with one place at infinity. 2012. ⟨hal-00712409v2⟩
91 View
238 Download



Gmail Facebook Twitter LinkedIn More