论文标题
在Pel Shimura品种的Pappas-Roport模型的几何形状上
On the geometry of the Pappas-Rapoport models for PEL Shimura varieties
论文作者
论文摘要
我们研究了某些PEL Shimura品种的积分模型，所谓的PAPPA-Ropoport或分裂模型，其数据在prime p上被分析。我们表明，除了在特定情况下，当P处的水平没有水平时，这些模型是平滑的，并且我们研究了它们的特殊纤维模量p。我们表明出现了有趣的分层，我们表明$μ$的基因座是开放且密集的，遵循未受到的情况下的韦德霍恩的策略。
We study integral models, so-called Pappas-Rapoport or splitting models, of some PEL Shimura Varieties whose data are ramified at a prime p. We show that except in a specific case, these models are smooth when there is no level at p, and we study their special fiber modulo p. We show that interesting stratifications appear, and we show that the $μ$-ordinary locus is open and dense, following a strategy of Wedhorn in the unramified case.
