Fable is used to help disprove a 50-year-old algebraic geometry conjecture
Dr_Singularity · x · 2026-07-23
A post claims Fable helped disprove a 50-year-old conjecture in algebraic geometry. The write-up states the conjecture says a Fourier–Mukai autoequivalence of a projective K3 surface that acts as the identity on the Mukai lattice must be an even shift, then presents a counterexample using a projective K3 surface containing a smooth rational curve.
The included diagram summarizes the logic: derive the induced Hodge isometry, compare it against the triangulated category structure, and show the conjectured triviality fails. Even if the surrounding post is terse, the mathematical claim itself is substantial.
Related event: AI Assistant Fable Helps Refute Long-Standing Algebraic Geometry Conjecture(2 posts)→
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