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arXiv · 2012.12879

Parabolicity conjecture of $F$-isocrystals

Marco D'Addezio
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Abstract

In this article we prove Crew's parabolicity conjecture of $F$-isocrystals. For this purpose, we introduce and study the notion of $\dagger$-hull of a sub-$F$-isocrystal. On the way, we prove a new Lefschetz theorem for overconvergent $F$-isocrystals.

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BibTeXRIS

Marco D'Addezio. 2020-12-23. Parabolicity conjecture of $F$-isocrystals. https://doi.org/10.4007/annals.2023.198.2.3

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