The Jacobian, Dixmier, and Poisson conjectures are stably equivalent.
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Decomposition
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Provenance
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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].
§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]
§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.