Vector bundles as generators on schemes and stacks [Elektronische Ressource] / vorgelegt von Philipp Gross

Vector Bundles as Generatorson Schemes and StacksInaugural-Dissertationzur Erlangung des Doktorgradesder Mathematisch-Naturwissenschaftlichen Fakult atder Heinrich-Heine-Universit at Dusseldorfvorgelegt vonPhilipp Grossaus DusseldorfDusseldorf, Mai 2010Aus dem Mathematischen Institutder Heinrich-Heine-Universit at DusseldorfGedruckt mit der Genehmigung derMathematisch-Naturwissenschaftlichen Fakult at derHeinrich-Heine-Universit at DusseldorfReferent: Prof. Dr. Stefan Schr oerKoreferent: Prof. Dr. Holger ReichAcknowledgmentsThe work on this dissertation has been one of the most signi cant academicchallenges I have ever had to face. This study would not have been completedwithout the support, patience and guidance of the following people. It is to themthat I owe my deepest gratitude.I am indebted to my advisor Stefan Schr oer for his encouragement to pursue thisproject. He taught me algebraic geometry and how to write academic papers, mademe a better mathematician, brought out the good ideas in me, and gave me theopportunity to attend many conferences and schools in Europe. I also thank HolgerReich, not only for agreeing to review the dissertation and to sit on my committee,but also for showing an interest in my research.Next, I thank the members of the local algebraic geometry research group fortheir time, energy and for the many inspiring discussions: Christian Liedtke, SasaNovakovic, Holger Partsch and Felix Schuller.