The possible model theoretic compactifications of a cover of the muliplicative group of a field are discussed. The members of a large class of such compactifications are shown to be covers of toric varieties. The structure of the members of this class is shown to be Analytic Zariski on a dense open subset. Some equivalences between model theoretic notions and those of toric geometry are established. An elimination of imaginaries result is proved for the theory of the covers. The notion of universality for a class is introduced. Some connections with mirror symmetry are discussed.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:491329 |
| Date | January 2007 |
| Creators | Burton, Lucy |
| Publisher | University of Oxford |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
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