Slope filtrations revisited

Mathematics – Number Theory

Scientific paper

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75 pages; v4: corrects minor errors in 4.3.5, 4.4.2, 6.3.1

Scientific paper

We give a "second generation" exposition of the slope filtration theorem for
modules with Frobenius action over the Robba ring, providing a number of
simplifications in the arguments. Some of these are inspired by parallel work
of Hartl and Pink, which points out some analogies with the formalism of stable
vector bundles.

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