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arXiv:1312.0490 [math.AG]AbstractReferencesReviewsResources

The geometry of Newton strata in the reduction modulo $p$ of Shimura varieties of PEL type

Paul Hamacher

Published 2013-12-02, updated 2014-11-12Version 2

In this paper we study the Newton stratification on the reduction of Shimura varieties of PEL type with hyperspecial level structure and the Newton stratification on the deformation space of a Barsotti-Tate group with PEL structure. Our main result is a formula for the dimension of Newton strata and the description their closure in each of the two cases. Furthermore, we calculate the dimension of some Rapoport-Zink spaces as an intermediate result.

Comments: 56 pages; v2: corrected some typos, gave more detailed introduction and added a sketch for the idea behind the definition of "numerical dimension" at the beginning of section 10
Categories: math.AG
Subjects: 14G35, 14L05, 20G25
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