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Claude Fable Counterexample Jacobian Conjecture

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hello there the jacobian conjecture is false thanx to my close friend akhil for asking about it and my other close friend fable for working during the world cup final ((1+xy)^3 z + y^2 (1+xy) (4+3xy), y + 3 x (1+xy)^2 z + 3 x y^2 (4+3xy), 2 x - 3 x^2 y - x^3 z): \C^3\to \C^3, has jacobian determinant -2, and sends (0, 0, -1/4), (1, -3/2, 13/2), and (-1, 3/2, 13/2) to (-1/4, 0, 0)

The counterexample was verified via WolframAlpha links showing the Jacobian determinant and evaluation at the three points. Replies ranged from disbelief to excitement, with Jared Duker Lichtman asking about infinite families and refined conjectures. Tilman Bayer provided Wikipedia context. Jake Halloran noted the two-variable case remains open. The poster Alpoge credited Claude Fable (an AI model) for the discovery during the World Cup final.