In this thesis, we consider entire mappings into projective space which omit hypersurfaces with several components of a certain degree and we show that they are algebraically degenerate or even constant. The main result is the proof of a special case of Kobayashi's conjecture, namely the proof of the hyperbolicity of the complement of a six component surface of degree seven in three-dimensional projective space (as well as that of a surface with five components none of which is a plane). This is achieved very directly using elementary methods such as Brody's reparametrization lemma.
HyperbolicityUmparametrisierungslemma von BrodyHyperbolizitätComplements of hypersurfacesKobayashi-VermutungBrody's reparametrization lemmaNone of the above, but in this sectionHypersurfacesKobayashi's conjectureKomplemente von Hyperflächen
Raufuß, Anke (132467259): Hyperbolizität in der komplexen Analysis und der algebraischen Geometrie. : Philipps-Universität Marburg 2007-01-23. DOI: https://doi.org/10.17192/z2007.0062.
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