Defines finite height for étale Z_p-local systems on adic spaces over p-adic fields and proves potential semistability after finite étale cover via analytic prismatic F-crystals and external purity results.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 2verdicts
UNVERDICTED 2representative citing papers
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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Potential semistability of Finite height Galois representations: Relative case
Defines finite height for étale Z_p-local systems on adic spaces over p-adic fields and proves potential semistability after finite étale cover via analytic prismatic F-crystals and external purity results.