Semigroups corresponding to branches at infinity of coordinate lines in   the affine plane
  We characterize in terms of characteristic sequences the semigroups corresponding to branches at infinity of plane affine curves $\Gamma$ for which there exists a polynomial automorphism mapping $\Gamma$ onto the axis $x=0$. 
Evelia R. Garc\'ia Barroso, Janusz Gwo\'zdziewicz and Arkadiusz   P{\l}oski
math.AG