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- W2081850412 abstract "Let k be an algebraically closed field of characteristic p>0. Let W(k) be the ring of Witt vectors with coefficients in k. We prove a motivic conjecture of Milne that relates, in the case of abelian schemes, the 'etale cohomology with $dbZ_p$ coefficients to the crystalline cohomology with integral coefficients, in the more general context of p-divisible groups endowed with {it arbitrary} families of crystalline tensors over a finite, discrete valuation ring extension of W(k). This extends a result of Faltings in [Fa2]. As a main new tool we construct global deformations of p-divisible groups endowed with crystalline tensors over certain regular, formally smooth schemes over W(k) whose special fibers over k have a Zariski dense set of k-valued points." @default.
- W2081850412 created "2016-06-24" @default.
- W2081850412 creator A5078760739 @default.
- W2081850412 date "2003-08-20" @default.
- W2081850412 modified "2023-09-27" @default.
- W2081850412 title "A motivic conjecture of Milne" @default.
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- W2081850412 hasPublicationYear "2003" @default.
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