�ber analytisch abh�ngige holomorphe und meromobphe Abbildungen

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.