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Good reductions of Shimura varieties of ...
Vasiu, Adrian...
Good reductions of Shimura varieties of Hodge type in arbitrary unramified mixed characteristic. Part I by Vasiu, Adrian ( Author )
N.A
11-07-2007
We prove the existence of good smooth integral models of Shimura varieties of Hodge type in arbitrary unramified mixed characteristic (0,p). As a first application we provide a smooth solution (answer) to a conjecture (question) of Langlands for Shimura varieties of Hodge type. As a second application we prove the existence in arbitrary unramified mixed characteristic (0,p) of integral canonical models of projective Shimura varieties of Hodge type with respect to h--hyperspecial subgroups as pro-étale covers of Néron models; this forms progress towards the proof of conjectures of Milne and Reimann. Though the second application was known before in some cases, its proof is new and more of a principle.
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English
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MYR 0.00
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https://arxiv.org/abs/0707.1668
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