Semistable reduction for overconvergent F-isocrystals on a curve

Semistable reduction for overconvergent F-isocrystals on a curve

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by Kiran S. Kedlaya

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@MISC{Kedlaya_semistablereduction,
    author = {Kiran S. Kedlaya},
    title = {Semistable reduction for overconvergent F-isocrystals on a curve},
    year = {}
}

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Abstract

We introduce a valuation-theoretic approach to the problem of semistable reduction (i.e., existence of logarithmic extensions on suitable covers) of overconvergent isocrystals with Frobenius structure. The key tool is the quasi-compactness of the Riemann-Zariski space associated to the function field of a variety. Contents

Citations

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