论文标题
关于Shimura品种的整体模型
On integral models of Shimura varieties
论文作者
论文摘要
我们展示了如何通过制定“规范”积分模型的定义来表征shimura品种的积分模型。然后，我们证明，在Hodge类型的情况下，在驯服假设下，作者和Kisin在以前的工作中构建的积分模型是规范的，尤其是与选择无关。一个主要工具是我们在本文中开发的具有脊骨结构的显示理论。
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.
