On locally biholomorphic finitely valent mappings from multi-connected domains onto the open disc |
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Authors: | Piotr Liczberski Victor V Starkov |
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Institution: | a Institute of Mathematics, Technical University of ?ód?, Ul. ?wirki, 36, 90-924 ?ód?, Poland b Faculty of Mathematics, Petrozavodsk State University, Pr. Lenina, 33, 185910 Petrozavodsk, Russia |
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Abstract: | In this paper we offer new results of research presented in the referred papers of J.E. Fornaess and E.L. Stout, E. Ligocka and the authors, and concerning the existence of m-valent locally biholomorphic mappings from product domains of Cn onto n-dimensional complex manifolds. In particular, we confirm an own conjecture about the estimation of the valentness m of locally biholomorphic mappings from multi-connected domains onto the open unit disc. |
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Keywords: | Locally biholomorphic mappings Finitely valent mappings Riemann surfaces Complex manifolds |
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