Withdrawn
The rational Hodge conjecture for products of K3 surfaces
Listed under family 032, then titled “Hodge and Kuga–Satake results for all projective K3 surfaces”, when the release was published; OpenAI has since withdrawn it. See the family as it stands
Withdrawal note
The proof relies on an adaptation of the flawed stabilization-trace construction in Algebraicity of Weil classes on split abelian eightfolds. The sign error in that construction prevents the required signed-double-point cancellation. The resulting gap leaves this paper’s claimed rational Hodge theorem for products of projective K3 surfaces unproved.
This withdrawal concerns the proof; it does not assert that the mathematical statement is false.
Withdrawn on October 6, 2026.