A digestion of the Jacobian conjecture counterexample
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A recent result using Fable AI has produced a counterexample to the Jacobian conjecture in three dimensions (and thus higher dimensions), showing it is false. The conjecture, which states that a polynomial map with non-zero constant Jacobian must be globally invertible, remains open only in two dimensions. The explicit example is a degree-seven polynomial map in three variables whose Jacobian is constant despite the map not being invertible.
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