Über ebene, regulär faktorisierbare und einfache holomorphe Abbildungen

Abstract

In geometric mapping theory, mappings between complex manifolds whose fibres (as analytic sets) are non-singular, are of some interest. Under the further assumption that the tangent spaces to the fibres induce a subbundle of the tangent bundle, the mapping can be locally factored as a regular composed with a finite map. Further only assuming that the fibres are non-singular curves, we prove a topological regularity criterion.