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arXiv · 1509.07752

Stratifications in the reduction of Shimura varieties

Xuhua He·Michael Rapoport
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Abstract

In the paper four stratifications in the reduction modulo $p$ of a general Shimura variety are studied: the Newton stratification, the Kottwitz-Rapoport stratification, the Ekedahl-Oort stratification and the Ekedahl-Kottwitz-Oort-Rapoport stratification. We formulate a system of axioms and show that these imply non-emptiness statements and closure relation statements concerning these various stratifications. These axioms are satisfied in the Siegel case.

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Xuhua He, Michael Rapoport. 2015-09-25. Stratifications in the reduction of Shimura varieties. https://arxiv.org/abs/1509.07752

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