Fourier-Mukai transform for twisted sheaves [Elektronische Ressource] / vorgelegt von Hermes Jackson Martinez Navas

Fourier–Mukai transformfor twisted sheavesDissertationzurErlangung des Doktorgrades (Dr. rer. nat.)derMathematisch-Naturwissenschaftlichen Fakultat¨derRheinischen Friedrich-Wilhelms-Universit¨at Bonnvorgelegt vonHermes Jackson Martinez Navasaus Bogota, KolumbienBonn 2010Angefertigt mit Genehmigungder Mathematisch-Naturwissenschaftlichen Fakult¨atder Rheinischen Friedrich–Wilhelms–Universit¨at BonnErster Referent: Prof. Dr. Daniel HuybrechtsZweiter Referent: Prof. Dr. Gu¨nter HarderTag der mund¨ lichen Pruf¨ ung: 06.07.2010Erscheinungsjahr 2010ForJesus,mybestfriend!AcknowledgementsI would like to thank my supervisor Daniel Huybrechts, for he has been ofmuch help during my PhD. I really thank him for all the time he spent with meinhisofficeandforallthesuggestionsandcorrectionsheusuallymade. Anotherspecial word of thanks is given to Dr. Christian Kaiser, the coordinator of theIMPRSgraduateprogramme, whohelpedmealotwiththeIMPRSseminarsatthe Max–Planck–Institut fur¨ Mathematik and with all the discussions we hadtogether.I would like to thank Max–Planck–Institut fur¨ Mathematik, for the scholar-ship and all the travel grants to attend conferences.I would like to thank Carolina and all my friends with whom I have sharedgreat time in Bonn; I especially thank my wife Tatiana, for all the love andsupport she gave me during my studies. Finally, I would like to thank my bestfriend Jesus the Messiah.