Families of p-divisible groups with constant Newton polygon

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

2002-09-20

arxiv.org/abs/math/0209264v1

Mathematics

Algebraic Geometry

To be published in Documenta Mathematica

Scientific paper

A p-divisible group over a base scheme in characteristic p in general does not admit a slope filtration. Let X be a p-divisible group with constant Newton polygon over a normal noetherian scheme S; we prove that there exists an isogeny from X to Y such that Y admits a slope filtration. In case S is regular this was proved by N. Katz for dim(S) = 1 and by T. Zink for dim(S) > 0. We give an example of a p-divisible group over a non-normal base which does not admit an isogeny to a p-divisible group with a slope filtration.

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