Families of $p$-divisible groups with constant Newton polygon

By Frans Oort, T. Zink. Documenta Mathematica, 2002

65 citations recorded by the source corpus.

Let X be a p-divisible group with constant Newton poly- gon over a normal Noetherian scheme S. We prove that there exists an isogeny X! Y such that Y admits a slope flltration. In case S is regular this was proved by N. Katz for dim S = 1 and by T. Zink for dim S‚ 1.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c54477a92c87b853b1d10c3cd1deb1d48beda2b0

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In Discrete Mathematics and Combinatorics

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Citations in the corpus

• The Newton stratification on deformations of local G-shtukas (2008, background): “We show that a local G-shtuka over a reduced complete local ring whose Newton polygon ν = νG is basic, that is central in G, is isogenous to a constant local G-shtuka (Proposition 8.1), which is an analog of a result of Oort and Zink, [OZ, Proposition 3.3].”
• Foliations in moduli spaces of abelian varieties (2002, unknown): “S is a p -divisible group, and n 2 Z (cid:21) 0 , if there exists a (cid:12)nite surjective morphism T !”
• On the cohomology of certain PEL-type Shimura varieties (2005, background): “In [23] (Cor. 1.5, p. 187) Oort and Zink prove that this is equivalent to containing a completely slope divisible Barsotti-Tate group.”