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The Abhyankar–Moh theorem (mid-1970s) on embeddings of the affine line in the affine plane and the related epimorphism/irreducibility results, used to settle the two-variable case of the Jacobian problem. Claims about the theorem, its proof, its authors' work on the two-dimensional Jacobian case, and extensions belong here.

Abhyankar and Moh treated the two-variable case of the Jacobian problem in the 1970s and 1980s.

UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →empirical · derivedA factual claim that rests on inference from other evidence rather than direct observation.constitution →Jacobian conjecture Algebraic geometryimportance · settledImportance 0.20, from 0 to 1 · settled: uncontested, so low even when much depends on it. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

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