Primitive elements in p-divisible groups
classification
🧮 math.NT
math.AG
keywords
elementsprimitivedivisiblegroupsarbitrarybasecurvesdesign
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We introduce the notion of primitive elements in arbitrary truncated $p$-divisible groups. By design, the scheme of primitive elements is finite and locally free over the base. Primitive elements generalize the "points of exact order $N$," developed by Drinfeld and Katz-Mazur for elliptic curves.
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