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TopicsJacobian conjecture Dixmier conjecture Poisson conjecture

Stable equivalence does not directly transfer a dimension-3 Jacobian counterexample to any Dixmier rank.

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Since Alpöge's counterexample lives in dimension 3 — odd — it does not correspond to any JC₂ₙ for integer n, so this particular theorem does not directly transfer the counterexample to any specific Dixmier rank.

An Independent Lean 4 Verification of the Alpöge–Fable Counterexampleextraction 0.82

§3, cautioning against naive use of stable equivalence

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Created by extractor · Sep 18, 2026. Every judgment on this page is accompanied by a reasoning trace.