Item type:Doctoral Thesis, Open Access

Hyperbolizität in der komplexen Analysis und der algebraischen Geometrie

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Date

2007-01-23

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Philipps-Universität Marburg
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Abstract

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.

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Dates
Created: 2006Issued: 2007-01-23Updated: 2011-08-10
DOI
https://doi.org/10.17192/z2007.0062
Faculty
Fachbereich Mathematik und Informatik
Publisher
Philipps-Universität Marburg
Language
ger
Data types
DoctoralThesis
Keywords
HyperbolicityUmparametrisierungslemma von BrodyHyperbolizitätComplements of hypersurfacesKobayashi-VermutungBrody's reparametrization lemmaNone of the above, but in this sectionHypersurfacesKobayashi's conjectureKomplemente von Hyperflächen
DFG-subjects
Komplexer projektiver RaumHolomorphie
DDC-Numbers
510
License
https://rightsstatements.org/vocab/InC-NC/1.0/
URI
https://open.uni-marburg.de/handle/10.17192/z2007.0062
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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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