On the Newton stratification in the good reduction of Shimura varieties

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.

final version; 23 pages; a first draft of this article is incorporated in arXiv:1601.03131v1

References in corpus (3)

• Rapoport-Zink spaces for spinor groups
• Stratifications and foliations for good reductions of Shimura varieties of Hodge type
• Filtered F-crystals on Shimura varieties of abelian type

Cited by in corpus (1)

• Fully Hodge-Newton decomposable Shimura varieties