On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains

 

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dc.contributor.advisor Hughes, Kenneth en_ZA
dc.contributor.advisor Martin, Rob en_ZA
dc.contributor.author Mckenzie, Daniel en_ZA
dc.date.accessioned 2014-11-14T19:46:26Z
dc.date.available 2014-11-14T19:46:26Z
dc.date.issued 2014 en_ZA
dc.identifier.citation Mckenzie, D. 2014. On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/9609
dc.description Includes bibliographical references. en_ZA
dc.description.abstract We consider two complementary problems: given a compact Kähler manifold with negative first Chern Class, when is its universal cover a Bounded Symmetric Domain? And if it is, which Bounded Symmetric Domain is it? Existing literature is discussed, with particular attention given to two recent papers of Catanese and Di Scala ([CDS12] and [CDS]) which answer both questions first for Bounded Symmetric Domains of Tube Type, and then for all Bounded Symmetric Domains without Ball Factors. Using work of Yau and others on ball quotients we extend the main result of [CDS] to all bounded Symmetric Domains, including those with ball factors, thus answering the two questions posed in full generality. en_ZA
dc.language.iso eng en_ZA
dc.title On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains en_ZA
dc.type Master Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Mckenzie, D. (2014). <i>On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/9609 en_ZA
dc.identifier.chicagocitation Mckenzie, Daniel. <i>"On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2014. http://hdl.handle.net/11427/9609 en_ZA
dc.identifier.vancouvercitation Mckenzie D. On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2014 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/9609 en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Mckenzie, Daniel AB - We consider two complementary problems: given a compact Kähler manifold with negative first Chern Class, when is its universal cover a Bounded Symmetric Domain? And if it is, which Bounded Symmetric Domain is it? Existing literature is discussed, with particular attention given to two recent papers of Catanese and Di Scala ([CDS12] and [CDS]) which answer both questions first for Bounded Symmetric Domains of Tube Type, and then for all Bounded Symmetric Domains without Ball Factors. Using work of Yau and others on ball quotients we extend the main result of [CDS] to all bounded Symmetric Domains, including those with ball factors, thus answering the two questions posed in full generality. DA - 2014 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2014 T1 - On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains TI - On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains UR - http://hdl.handle.net/11427/9609 ER - en_ZA


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