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TopicsJacobian conjecture Dixmier conjecture Poisson conjecture Algebraic geometry

The Jacobian, Dixmier, and Poisson conjectures are stably equivalent.

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An Independent Lean 4 Verification of the Alpöge–Fable Counterexample Untraced · nothing upstream recorded

All three conjectures — Jacobian, Dixmier, Poisson — were shown to be stably equivalent by Tsuchimoto (2005) [8] and independently by Belov-Kanel and Kontsevich (2007) [9], and the three-way (Jacobian–Dixmier–Poisson) equivalence was established by Adjamagbo and van den Essen (2007) [7].

An Independent Lean 4 Verification of the Alpöge–Fable Counterexampleextraction 0.85

§3, on the relationships among the Jacobian, Dixmier, and Poisson conjectures.

All three conjectures — Jacobian, Dixmier, Poisson — were shown to be stably equivalent by Tsuchimoto (2005) [8] and independently by Belov-Kanel and Kontsevich (2007) [9]

An Independent Lean 4 Verification of the Alpöge–Fable Counterexampleextraction 0.90

§3, on the relationships among the three conjectures

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Created by extractor · Sep 16, 2026. Every judgment on this page is accompanied by a reasoning trace.