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Withdrawn

Algebraicity of Kuga-Satake Correspondences for 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titled “Hodge and Kuga–Satake results for all projective K3 surfaces”, when the release was published; OpenAI has since withdrawn it.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 algebraicity theorem unproved.

This withdrawal concerns the proof; it does not assert that the mathematical statement is false.

Withdrawn on October 6, 2026.