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20 JUL 2026 · Hacker News · 793 pts

A counterexample to the Jacobian Conjecture has been found, involving a polynomial map from ℂ³ to ℂ³ with a constant Jacobian determinant of -2, yet sending three distinct points to the same image, thus disproving the conjecture. This counterexample was discovered by Claude Fable during the World Cup final. The Jacobian Conjecture, a problem in algebraic geometry, has been considered one of the most important unsolved problems in mathematics for many years. AI summary