Families of $p$-divisible groups with constant Newton polygon
Documenta mathematica, Tome 7 (2002), pp. 183-201
Let X be a p-divisible group with constant Newton polygon over a normal Noetherian scheme S. We prove that there exists an isogeny X→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≥1.
@article{10_4171_dm_123,
author = {Frans Oort and Thomas Zink},
title = {Families of $p$-divisible groups with constant {Newton} polygon},
journal = {Documenta mathematica},
pages = {183--201},
year = {2002},
volume = {7},
doi = {10.4171/dm/123},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/123/}
}
Frans Oort; Thomas Zink. Families of $p$-divisible groups with constant Newton polygon. Documenta mathematica, Tome 7 (2002), pp. 183-201. doi: 10.4171/dm/123
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