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

Frans Oort; Thomas Zink

doi:10.4171/dm/123

JournalsdmVol. 7pp. 183–201

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

Frans Oort
Mathematisch Instituut Fakultät für Mathematik P.O. Box. 80.010 Universität Bielefeld NL - 3508 TA Utrecht Postfach 100131 The Netherlands D-33501 Bielefeld
Thomas Zink
Deutschland

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Abstract

Let $X$ be a $p$ -divisible group with constant Newton polygon over a normal Noetherian scheme $S$ . We prove that there exists an isogeny $X \to Y$ 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 $S \geq 1$ .

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Frans Oort, Thomas Zink, Families of $p$ -divisible groups with constant Newton polygon. Doc. Math. 7 (2002), pp. 183–201

DOI 10.4171/DM/123