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Über analytisch abhängige holomorphe und meromobphe Abbildungen

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Abstract

We discuss the conceptions of analytic dependence, strict analytic dependence, spaces of level sets and complex bases of holomorphic mappings and their relationship. For instance, a theorem of the following type is proved: Let X be a normal complex space, let

be holomorphic mappings, which are analytically related (i.e.

depends analytically on

and

depends analytically on

). Let

be maximal (i.e.

majorizes every holomorphic map which is strictly analytically dependent on

) and let

be strongly maximal (i.e.

majorizes every holomorphic map which depends analytically on

). Then Z* is a proper modification of

, if

is proper or nowhere degenerated.

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Authors and Affiliations

  1. Institut für Mathematik der Ruhr-Universität Bochum, 463 Bochum-Querenburg

    Norbert Kuhlmann

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  1. Norbert Kuhlmann
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Kuhlmann, N. Über analytisch abhängige holomorphe und meromobphe Abbildungen. Manuscripta Math 1, 339–367 (1969). https://doi.org/10.1007/BF01172141

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  • DOI: https://doi.org/10.1007/BF01172141

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