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

Paul Hamacher

Type: Article

Publication Date: 2015-12-01

Citations: 31

DOI: https://doi.org/10.1215/00127094-3328137

Abstract

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.

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Duke Mathematical Journal - View
arXiv (Cornell University) - View - PDF
Library Union Catalog of Bavaria, Berlin and Brandenburg (B3Kat Repository) - View - PDF
mediaTUM (Technical University of Munich) - View - PDF
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+	An Improvement of de Jong-Oort's Purity Theorem	2010	Yanhong Yang
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+ PDF Chat	Finite Dimensional Algebras and Quantum Groups	2008	Bangming Deng Jie Du Brian Parshall Jianpan Wang