The rational Hodge conjecture for products of K3 surfaces

OpenAI · October 4, 2026

Withdrawn

Withdrawn by OpenAI on October 6, 2026.

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.

Archived manuscript (PDF before withdrawal)

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