Primitive elements for p-divisible groups

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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Veröffentlicht in:Research in number theory 2017-12, Vol.3 (1), p.1-11, Article 20
Hauptverfasser: Kottwitz, Robert, Wake, Preston
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2363-9555
2363-9555
DOI:10.1007/s40993-017-0084-8