Algebraicity of Kuga–Satake Correspondences for K3 Surfaces
Withdrawal notice: 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.
Comments and reviews
No comments yet.
Discussed elsewhere
— Francesco Maggi (@Frances01896069) Oct 8, 2026
API
curl /api/v1/records/openai-math/Algebraicity-of-Kuga-Satake-Correspondences-for-K3-Surfaces
curl -X POST /api/v1/records/openai-math/Algebraicity-of-Kuga-Satake-Correspondences-for-K3-Surfaces/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/openai-math/Algebraicity-of-Kuga-Satake-Correspondences-for-K3-Surfaces/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"body": "…", "review": true}'
Rigidity, flexibility, and a sign errorarXiv.orgYanki Lekili, Nick SheridanOct 22, 2026in the index
The documents [OAI26a, OAI26b, OAI26c] claimed to prove cases of the Hodge conjecture via homological mirror symmetry, before being withdrawn by OpenAI. We discuss the source of the error (but do not analyse the rest of the argument).