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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3 Pith papers cite this work. Polarity classification is still indexing.
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Assuming Lang-Trotter-type sparsity for simultaneous supersingular reductions, the paper proves two Zilber-Pink-type finiteness results for Hodge generic curves in Y(1)^n via André's G-function method.
Lang-Trotter conjecture for elliptic curve pairs implies new Zilber-Pink cases for curves in A_3 via André's G-functions method, without boundary intersection assumptions.
citing papers explorer
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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.
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Supersingular reduction and strongly special intersections in powers of the modular curve
Assuming Lang-Trotter-type sparsity for simultaneous supersingular reductions, the paper proves two Zilber-Pink-type finiteness results for Hodge generic curves in Y(1)^n via André's G-function method.
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Lang-Trotter phenomena and unlikely intersections
Lang-Trotter conjecture for elliptic curve pairs implies new Zilber-Pink cases for curves in A_3 via André's G-functions method, without boundary intersection assumptions.