| Claude Fable produced a counterexample to the Jacobian Conjecture(xcancel.com) | |
| 667 points by loubbrad 23 hours ago | 429 comments | |
tl;dr: A user (levent/@__alpoge__) claims that Claude "Fable" produced a counterexample to the Jacobian Conjecture, a longstanding open problem in algebraic geometry. The proposed map from ℂ³ to ℂ³ has constant Jacobian determinant -2 but is not injective, sending three distinct points to (-1/4, 0, 0). If verified, this would disprove the conjecture, which posits that polynomial maps with nonzero constant Jacobian determinant must be invertible. | |
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