Proper holomorphic maps between Reinhardt domains and strictly pseudoconvex domains |
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Authors: | Gilberto Dini Angela Selvaggi Primicerio |
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Institution: | 1. Istituto Matematico “Ulisse Dini”, Viale Morgagni, 67/A, 50134, Firenze, Italy
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Abstract: | LetR be a Reinhardt domain andD a bounded simply connected strictly pseudoconvex domain withC ∞ boundary. We prove that any proper holomorphic mapF:R →D is, up to biholomorphism ofD, of the form \((z_1^{d_1 } , z_2^{d_2 } , \ldots , z_n^{d_n } )\) withd 1,d 2,…,d n ∈ IN. |
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