Integral models of Shimura varieties with parahoric level structure
Integral models of Shimura varieties with parahoric level structure
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DOI：
10.1007/s10240-018-0100-0
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发表时间：
2015-12
期刊：
影响因子：
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通讯作者：
M. Kisin;G. Pappas
中科院分区：
文献类型：
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作者：
M. Kisin;G. Pappas
对于素数，我们构建了具有平行水平结构的 Shimura 变体的积分模型，附加到阿贝尔类型的 Shimura 数据，这样就可以在 的驯服的分支扩展上分裂。这些积分模型的局部结构与某些“局部模型”有关，这些“局部模型”在理论上被定义为群。在一些额外的假设下，我们表明这些积分模型满足 Kottwitz 的猜想，该猜想给出了 Frobenius 作用在其附近周期束上的迹线的明确描述。
For a prime, we construct integral models overfor Shimura varieties with parahoric level structure, attached to Shimura dataof abelian type, such thatsplits over a tamely ramified extension of. The local structure of these integral models is related to certain “local models”, which are defined group theoretically. Under some additional assumptions, we show that these integral models satisfy a conjecture of Kottwitz which gives an explicit description for the trace of Frobenius action on their sheaf of nearby cycles.