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Title: Toric varieties as analytic Zariski structures
Author: Burton, Lucy
ISNI:       0000 0001 3511 6087
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2007
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available