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.
Citation
Marco D'Addezio. "Parabolicity conjecture of $F$-isocrystals." Ann. of Math. (2) 198 (2) 619 - 656, September 2023. https://doi.org/10.4007/annals.2023.198.2.3
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