Two proper polynomial maps f 1,f 2 :ℂ 2→ℂ 2 are said to be equivalent if there exist Φ 1,∈Φ 2 Aut(ℂ 2) such that f 2=Φ 2 o f 1 o Φ 1. 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. © 2009 Mathematica Josephina, Inc.
On proper polynomial maps of ℂ 2 / Bisi, C.; Polizzi, F.. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - 20:1(2010), pp. 72-89. [10.1007/s12220-009-9102-y]
On proper polynomial maps of ℂ 2
Polizzi F.
2010
Abstract
Two proper polynomial maps f 1,f 2 :ℂ 2→ℂ 2 are said to be equivalent if there exist Φ 1,∈Φ 2 Aut(ℂ 2) such that f 2=Φ 2 o f 1 o Φ 1. 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. © 2009 Mathematica Josephina, Inc.File in questo prodotto:
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