Families of p-divisible groups with constant Newton polygon
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0209264,
title = {Families of p-divisible groups with constant Newton polygon},
author = {Frans oort and Thomas Zink},
journal= {arXiv preprint arXiv:math/0209264},
year = {2007}
}
Comments
To be published in Documenta Mathematica