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On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains
Includes bibliographical references.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613303033823232 |
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| access_status_str | Open Access |
| author | Mckenzie, Daniel |
| author2 | Hughes, Kenneth |
| author_browse | Hughes, Kenneth Mckenzie, Daniel |
| author_facet | Hughes, Kenneth Mckenzie, Daniel |
| author_sort | Mckenzie, Daniel |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/9609 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:59.204Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/9609 On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains Mckenzie, Daniel Hughes, Kenneth Martin, Rob Includes bibliographical references. 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. 2014-11-14T19:46:26Z 2014-11-14T19:46:26Z 2014 Master Thesis Masters MSc http://hdl.handle.net/11427/9609 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mckenzie, Daniel On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains |
| thesis_degree_str | Master's |
| title | On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains |
| title_full | On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains |
| title_fullStr | On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains |
| title_full_unstemmed | On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains |
| title_short | On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains |
| title_sort | on uniformization of compact kahler manifolds with negative first chern class by bounded symmetric domains |
| url | http://hdl.handle.net/11427/9609 |
| work_keys_str_mv | AT mckenziedaniel onuniformizationofcompactkahlermanifoldswithnegativefirstchernclassbyboundedsymmetricdomains |