In “Algebraicity of Weil classes on split abelian eightfolds” a sign error invalidates a stabilization-trace cancellation argument and the construction used by two dependent papers. As a result, we have withdrawn the following three manuscripts:
- Algebraicity of Weil classes on split abelian eightfolds
- Algebraicity of Kuga–Satake Correspondences for K3 Surfaces
- The rational Hodge conjecture for products of K3 surfaces
These were all related to the Hodge conjecture, one of the Millennium Prize problems. I wonder how many more will be retracted in the coming months.
https://github.com/openai/math/pull/1/files/301488868beec11b...