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Fundamental groups and good reduction criteria for curves over positive characteristic local fields

Fundamental groups and good reduction criteria for curves over positive characteristic local fields

In this article I define and study the overconvergent rigid fundamental group of a variety over an equicharacteristic local field. This is a non-abelian (ϕ,∇)-module over the bounded Robba ring ℰ K † , whose underlying unipotent group (after base changing to the Amice ring ℰ K ) is exactly …