Two proper polynomial maps f1,f2:C2⟶C2 are said to be \emph{equivalent} if there exist Φ1,Φ2∈Aut(C2) such that f2=Φ2∘f1∘Φ1.
We investigate proper polynomial maps of arbitrary topological degree d≥2 up to equivalence. Under the further assumption that the maps are Galois
coverings we also provide the complete description of equivalence classes. This
widely extends previous results obtained by Lamy in the case d=2.Comment: 15 pages. Final version, to appear in Journal of Geometric Analysi