p-Jets of Finite Algebras, I: p-Divisible Groups

$p$-jets of finite flat maps of schemes are generally neither finite nor flat. However, for $p$-isogenies, and in particular for $p$-divisible groups, this pathology tends to disappear «in the limit". We illustrate this in the case of $G_m$, elliptic curves, and formal groups of finite height.

2010 Mathematics Subject Classification: 14 L 05, 13 K 05

Keywords and Phrases: Formal groups, p-divisible groups, Witt vectors

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