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On a theorem of Scholze-Weinstein
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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.
Forward citations
Cited by 2 Pith papers
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F-isocrystals of Higher Direct Images of $p$-Divisible Groups
For a p-divisible group G over a smooth projective X/k in characteristic p, the formal group R^i f_fppf* G is isogenous to a p-divisible group whose Dieudonné crystal is the slope-[0,1] part of R^i f_crys* M^cr(G).
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Some applications of the Nygaard filtration and quasisyntomic descent in positive characteristic
A mostly expository article that re-proves known p-adic comparison theorems with elementary tools and adds a new corollary about multiplication by n on fppf cohomology of abelian varieties.
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