志村上的EKOR地层具有旁消减性

arXiv: Algebraic Geometry Pub Date : 2020-03-01 DOI:10.25534/TUPRINTS-00011543

Jens Hesse

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引用次数: 3

摘要

研究了在给定素数位置上具有旁水平的志村变元的积分模型的特殊纤维的几何性质。更精确地说，我们处理的是Ekedahl-Oort和Kottwitz-Rapoport分层之间的EKOR分层。在西格尔情况下，我们通过适当地将Moonen, Wedhorn, Pink和Ziegler的$G$-zips理论推广到我们的背景中来给出几何描述。

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EKOR strata on Shimura varieties with parahoric reduction

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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arXiv: Algebraic Geometry

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