论文标题

Shimura品种的Ekor地层,并减少了

EKOR strata on Shimura varieties with parahoric reduction

论文作者

Hesse, Jens

论文摘要

我们研究了在给定的质量位置的Shimura品种的整体模型的特殊纤维的几何形状。更确切地说,我们处理Ekor分层,该分层在Ekedahl-Oort和Kottwitz-Ropoport分层之间进行了插值。在Siegel案例中,我们通过适当地概括了Moonen,Wedhorn,Pink和Ziegler的$ g $ zips理论来提供几何描述。

We investigate the geometry of the special fiber of the integral model of a Shimura variety with parahoric level at a given prime place. To be more precise, we deal with the EKOR stratification which interpolates between the Ekedahl-Oort and Kottwitz-Rapoport stratifications. In the Siegel case we give a geometric description by suitably generalizing the theory of $G$-zips of Moonen, Wedhorn, Pink and Ziegler to our context.

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