What was already known
Compatible cohomological realizations alone do not establish rational intersection numbers with new divisor classes arising after reduction. Milne’s conjecture asks for that additional rationality.
What changed and why it matters
Resolves the stated rationality problem across residue characteristics, beyond compatibility of realizations.
The AI contribution
OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.
Limitations
The statement concerns good reduction. The algebraic-cycle specialization conclusion invokes the separate CM Hodge theorem; this is not a proof of the unrestricted Hodge conjecture. Preprint. This is a source-statement and significance assessment, not a proof audit. No independent checking or successful formal compilation is asserted by this entry.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
The publisher reports the scoped result. AIProofWatch has not independently validated its correctness.
Accessible artifact / proof
The original written argument is accessible. Availability does not establish a successful proof check or Lean verification.
Correction and publication history
Historical report added after statement, scope, and importance review. No proof audit or formal checking asserted; subscriber alerts disabled.
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