Categoricity and covering spaces

Adam Harris

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arXiv · 1412.3484

Categoricity and covering spaces

Adam Harris

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Abstract

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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Adam Harris. 2014-12-10. Categoricity and covering spaces. https://arxiv.org/abs/1412.3484

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