A digestion of the Jacobian conjecture counterexample

A counterexample to the Jacobian conjecture—a long-standing open problem in mathematics—has been found in three dimensions using the Fable AI, proving that a polynomial map can have a non-zero constant Jacobian (indicating local invertibility) without being globally invertible. The conjecture, which asserts that local invertibility implies global invertibility, remains unsolved in two dimensions but has been resolved in higher dimensions, with the explicit three-variable polynomial example of degree seven revealing unexpected coefficient cancellations that would be unlikely to occur by chance.