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Preprint Number 812

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812. Adam Harris
Categoricity and covering spaces

Submission date: 10 December 2014


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.

Mathematics Subject Classification: 11G18 (Primary), 03C35 (Secondary)

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Full text arXiv 1412.3484: pdf, ps.

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