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September 2023 Parabolicity conjecture of -isocrystals
Marco D'Addezio
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Ann. of Math. (2) 198(2): 619-656 (September 2023). DOI: 10.4007/annals.2023.198.2.3

Abstract

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

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

Information

Published: September 2023
First available in Project Euclid: 31 August 2023

Digital Object Identifier: 10.4007/annals.2023.198.2.3

Subjects:
Primary: 14F30 , 18M25

Keywords: -isocrystal , monodromy group , slope

Rights: Copyright © 2023 Department of Mathematics, Princeton University

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Vol.198 • No. 2 • September 2023
Department of Mathematics of Princeton University
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