Abstract
Two proper polynomial maps f 1, f 2 :ℂ2⟶ℂ2 are said to be equivalent if there exist Φ1, Φ2∈Aut(ℂ2) such that f 2=Φ2○f 1○Φ1. We investigate proper polynomial maps of 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.
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Communicated by Steven Krantz.
C. Bisi was partially supported by Progetto MIUR di Rilevante Interesse Nazionale Proprietà geometriche delle varietà reali e complesse and by GNSAGA–INDAM.
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Bisi, C., Polizzi, F. On Proper Polynomial Maps of ℂ2 . J Geom Anal 20, 72–89 (2010). https://doi.org/10.1007/s12220-009-9102-y
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DOI: https://doi.org/10.1007/s12220-009-9102-y