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Crystalline fundamental groups. I: Isocrystals on log crystalline site and log convergent site. (English) Zbl 0984.14009

Crystalline fundamental groups are defined for fine log schemes over a perfect field of positive characteristic. Several of their key properties are proved.
Reviewer: A.Dimca (Bordeaux)

MSC:

14F30 \(p\)-adic cohomology, crystalline cohomology
14F35 Homotopy theory and fundamental groups in algebraic geometry
14F40 de Rham cohomology and algebraic geometry