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Preprint Number 580
580. Christopher Daw and Adam Harris Categoricity of modular and Shimura curves E-mail: Submission date: 18 April 2013. Abstract: We consider an L_{\omega_1,\omega}-sentence, in a two-sorted language, for the universal cover of a connected component of a Shimura variety. We present necessary and sufficient conditions for its categoricity, in all uncountable cardinalities, in one dimensional cases. Mathematics Subject Classification: Keywords and phrases: |
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