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Crew, Richard

\(F\)-isocrystals and their monodromy groups. (English) Zbl 0783.14008

Ann. Sci. Éc. Norm. Supér. (4) 25, No. 4, 429-464 (1992).
The paper provides some facts about monodromy-groups of convergent and overconvergent \(F\)-isocrystals. The main technical tools are the study of unit root crystals, and the structure of rank-one overconvergent crystals on a curve. The main result is an overconvergent analogue of Deligne’s theory of determinated weights.
Reviewer: G.Faltings (Princeton)

Cited in 25 Documents

MSC:

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

Keywords:

overconvergent \(F\)-isocrystals; monodromy-groups; unit root crystals
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\textit{R. Crew}, Ann. Sci. Éc. Norm. Supér. (4) 25, No. 4, 429--464 (1992; Zbl 0783.14008)
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References:

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