Claude Fable 5 Disproves Jacobian Conjecture, GPT-5.6 Proposes Refined Version

The Jacobian conjecture, a central open problem in algebraic geometry since 1939, was reportedly disproved by Alpoge, Matthew, and Claude Fable 5. The disproof involved identifying a specific polynomial F(x,y,z) that is not invertible despite having a non-zero Jacobian determinant. Following this, GPT-5.6 proposed a refined conjecture: "A constant-Jacobian polynomial local biholomorphism with no loss of sheets at infinity—e.g. a proper Keller map—is an automorphism."