tech · 2026-07-20
Claude Fable Produces Counterexample to Jacobian Conjecture
Mathematician Claude Fable has reportedly developed a counterexample to the Jacobian Conjecture, a significant problem in algebraic geometry that has remained unsolved for over 80 years. The conjecture, first proposed in 1939, concerns polynomial mappings and their inverses. Fable's finding suggests that not all polynomial maps with a constant non-zero Jacobian determinant necessarily have a polynomial inverse. This breakthrough could necessitate a re-evaluation of established theories and open new research directions in pure mathematics and its applied fields. Source: HN Frontpage