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Ogus's conjecture on F-isocrystals

math.AG · 2026-06-21 · unverdicted · novelty 7.0

Ogus's conjecture is resolved affirmatively in full generality by constructing the required F-isocrystal via p-adic local systems and prismatic methods, while also introducing a prismatic refinement of the p-adic Riemann-Hilbert functor.

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  • Ogus's conjecture on F-isocrystals math.AG · 2026-06-21 · unverdicted · none · ref 41

    Ogus's conjecture is resolved affirmatively in full generality by constructing the required F-isocrystal via p-adic local systems and prismatic methods, while also introducing a prismatic refinement of the p-adic Riemann-Hilbert functor.