A counterexample to the Bhatt-Lurie cohomological dimension conjecture is exhibited using a non-excellent DVR constructed by Datta-Smith, with the expected bound recovered under excellence.
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3 Pith papers cite this work. Polarity classification is still indexing.
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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.
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
citing papers explorer
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A Counterexample to Bhatt-Lurie's Cohomological Dimension Conjecture
A counterexample to the Bhatt-Lurie cohomological dimension conjecture is exhibited using a non-excellent DVR constructed by Datta-Smith, with the expected bound recovered under excellence.
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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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Convergence of orbital integrals on unitary groups in positive characteristic
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.