Categoricity and covering spaces
classification
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math.NT
keywords
abelianalgebraicbasicbehaviourcategoricitycertaincoveringcovers
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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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