Categoricity and covering spaces

<p>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.<...

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Bibliographic Details
Main Author: Harris, A
Other Authors: Pila, J
Format: Thesis
Language:English
Published: 2013
Subjects:
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Summary:<p>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.</p>