On the Newton stratification in the good reduction of Shimura varieties

Paul Hamacher

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arXiv · 1605.05540

On the Newton stratification in the good reduction of Shimura varieties

Paul Hamacher

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Abstract

I construct a generalisation of Mantovan's almost product structure to Shimura varieties of Hodge type with hyperspecial level structure at $p$ and deduce that the perfection of the Newton strata are pro-étale locally isomorphic to the perfection of the product of a central leaf and a Rapoport-Zink space. The almost product formula can be extended to obtain an analogue of Caraiani's and Scholze's generalisation of the almost product structure for Shimura varieties of Hodge type.

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Paul Hamacher. 2018-10-26. On the Newton stratification in the good reduction of Shimura varieties. https://arxiv.org/abs/1605.05540

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