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Preprint Number 580

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580. Christopher Daw and Adam Harris
Categoricity of modular and Shimura curves
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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.

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Full text arXiv 1304.4797: pdf, ps.


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