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On a theorem of Scholze-Weinstein

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 نشر من قبل Vladimir Drinfeld
 تاريخ النشر 2018
  مجال البحث
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 تأليف Vladimir Drinfeld




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Let G be the Tate module of a p-divisble group H over a perfect field k of characteristic p. A theorem of Scholze-Weinstein describes G (and therefore H itself) in terms of the Dieudonne module of H; more precisely, it describes G(C) for good semiperfect k-algebras C (which is enough to reconstruct G). In these notes we give a self-contained proof of this theorem and explain the relation with the classical descriptions of the Dieudonne functor from Dieudonne modules to p-divisible groups.

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