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math.LO2021
Modular curves and their pseudo-analytic cover
Boris Zilber, Chris Daw
We find a natural -axiomatisation of a structure on the upper half-plane as the covering space of modular curves. The main theorem states that has a…
math.LO2013★ 4 cited
Categoricity of modular and Shimura curves
Christopher Daw, Adam Harris
We describe a model-theoretic setting for the study of Shimura varieties, and study the interaction between model theory and arithmetic geometry in this setting. In particular, we…