On integral models of Shimura varieties
On integral models of Shimura varieties
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志村品种的积分模型
DOI:
10.1007/s00208-022-02387-8
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发表时间:
2022
影响因子:
1.4
通讯作者:
Pappas, Georgios
中科院分区:
文献类型:
--
作者:
Pappas, Georgios
We show how to characterize integral models of Shimura varieties over places of the reflex field where the level subgroup is parahoric by formulating a definition of a “canonical” integral model. We then prove that in Hodge type cases and under a tameness hypothesis, the integral models constructed by the author and Kisin in previous work are canonical and, in particular, independent of choices. A main tool is a theory of displays with parahoric structure that we develop in this paper.
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