[tel-00121528, v1] Deux applications de la positivité à l'étude des variétés projectives complexes

` ´THESE DE DOCTORAT DE MATHEMATIQUES´DE L’UNIVERSITE JOSEPH FOURIER (GRENOBLE I)pr´epar´ee en cotutelle :a` l’Institut Fourier et a` Universit¨at BayreuthLaboratoire de math´ematiques Mathematisches InstitutUMR 5582 CNRS - UJFTWOAPPLICATIONSOFPOSITIVITYTOTHECLASSIFICATIONTHEORYOFCOMPLEXPROJECTIVEVARIETIES¨Andreas HORINGSoutenance a` Grenoble le 8 d´ecembre 2006 devant le jury :Laurent Bonavero (Maˆıtre de conf´erences, Institut Fourier), CodirecteurFr´ed´eric Campana (Professeur, Nancy)Jean-Pierre Demailly (Professeur, Institut Fourier)Christophe Mourougane (Professeur, Rennes)Thomas Peternell (Professeur, Bayreuth), CodirecteurJaroslaw Wi´sniewski (Professeur, Warsaw)Au vu des rapports de Christophe Mourougane et Jaroslaw Wi´sniewskitel-00121528, version 1 - 21 Dec 2006To my teachers.1tel-00121528, version 1 - 21 Dec 2006Acknowledgements.During the last three years I had the chance to have the full attention of twoextraordinary supervisors, Laurent Bonavero and Thomas Peternell. They ini-tiated me to the di cult art of algebraic geometry and supported me duringthe numerous ups and downs that are so typical for research in mathematics.Their openness for discussions and their interest for my sometimes weird ideascontributed tremendously to the success of this thesis. Last but not least theygave me the freedom I need to pursue my various non-mathematical activities.I want to thank Christophe Mourougane and Jaroslaw Wisniewski for ac-cepting ...