Plectis Atlas
Search

↑ and ↓ move, Enter opens, Esc closes.

Withdrawn

The rational Hodge conjecture for products of K3 surfaces

PDFArchived paper

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titled “Hodge and Kuga–Satake results for all projective K3 surfaces”, when the release was published; OpenAI has since withdrawn it.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Withdrawn on October 6, 2026.