This thesis develops some of the basic model theory of covers of algebraic curves. In particular, an equivalence between the good model-theoretic behaviour of the modular j-function, and the openness of certain Galois representations in the Tate-modules of abelian varieties is described.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:629506 |
| Date | January 2013 |
| Creators | Harris, Adam |
| Contributors | Pila, Jonathan; Zilber, Boris |
| Publisher | University of Oxford |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://ora.ox.ac.uk/objects/uuid:2995ac5e-b535-4d18-9d6a-4f9455659f55 |
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