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Crew, Richard

Specialization of crystalline cohomology. (English) Zbl 0615.14010

Duke Math. J. 53, 749-757 (1986).
Let \(f: X\to S\) be a proper smooth morphism of schemes over a perfect field of characteristic \(p\). Using the theory of convergent isocrystals, it is shown that the Newton polygons of the \({\mathbb{Q}}\otimes H^ i_{cris}(X_ s/W(s))\) (the relative crystalline cohomology of a fiber) are constant along the strata of a suitable stratification of A and rise under specialization.
Reviewer: J.H.de Boer

Cited in 8 Documents

MSC:

14F30 \(p\)-adic cohomology, crystalline cohomology

Keywords:

convergent isocrystals; Newton polygons; crystalline cohomology; stratification
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\textit{R. Crew}, Duke Math. J. 53, 749--757 (1986; Zbl 0615.14010)
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References:

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