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

Simple item page
dc.contributor.advisorHughes, Kennethen_ZA
dc.contributor.advisorMartin, Roben_ZA
dc.contributor.authorMckenzie, Danielen_ZA
dc.date.accessioned2014-11-14T19:46:26Z
dc.date.available2014-11-14T19:46:26Z
dc.date.issued2014en_ZA
dc.descriptionIncludes bibliographical references.en_ZA
dc.description.abstractWe 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.identifier.apacitationMckenzie, 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/11427/9609en_ZA
dc.identifier.chicagocitationMckenzie, 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/11427/9609en_ZA
dc.identifier.citationMckenzie, 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.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
dc.identifier.urihttp://hdl.handle.net/11427/9609
dc.identifier.vancouvercitationMckenzie 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/11427/9609en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.titleOn uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domainsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
thesis_sci_2014_mckenzie_d.pdf
Size:
901.98 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Masters