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- W4297816074 abstract "We propose a model-theoretic structure for Shimura varieties and give necessary and sufficient conditions to obtain categoricity. We show that these conditions are directly related to important conjectures in number theory coming from Galois representations attached the points of a Shimura variety. We end by showing that the existing literature is enough to prove categoricity of $mathcal{A}_{2}$ and $mathcal{A}_{3}$." @default.
- W4297816074 created "2022-10-01" @default.
- W4297816074 creator A5043058463 @default.
- W4297816074 date "2018-03-18" @default.
- W4297816074 modified "2023-09-25" @default.
- W4297816074 title "Categoricity of Shimura Varieties" @default.
- W4297816074 doi "https://doi.org/10.48550/arxiv.1803.06700" @default.
- W4297816074 hasPublicationYear "2018" @default.
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