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Kontsevich's Generalized Vanishing Conjecture from deformation quantization: for a family of polynomials in two groups of variables, the linear-in-t terms of its Grobman-Hausdorff (Bergman) series vanish. Claims about its truth, special-case proofs, and counterexamples (e.g. in five variables) belong here; separate vanishing statements in the Jacobian conjecture literature belong to the Jacobian c

The Generalized Vanishing Conjecture fails in five variables

VerifiedThe evidence, examined directly, establishes the claim.constitution →empirical · derivedA factual claim that rests on inference from other evidence rather than direct observation.constitution →Algebraic geometryimportance · minorImportance 0.30, from 0 to 1 · minor: narrow or largely settled, cheap to get right. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

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