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.
Completed prismatic
2 Pith papers cite this work, alongside 7 external citations. Polarity classification is still indexing.
2
Pith papers citing it
7
external citations · OpenAlex
years
2026 2representative citing papers
A finite-height Z_p-local system on a small affine semistable adic space becomes semistable after pullback to the Kummer cover X_m defined by adjoining π^{1/p^m}.
citing papers explorer
-
Ogus's conjecture on F-isocrystals
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.
-
Potential semistability of Finite height Galois representations: Relative case
A finite-height Z_p-local system on a small affine semistable adic space becomes semistable after pullback to the Kummer cover X_m defined by adjoining π^{1/p^m}.