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ShowingImportancePrizesTopicHuq–Kuruvilla map1 claim

The polynomial map (x+x²y, y+xz+x²yz, z+x²z²) attributed to Huq and Kuruvilla over fields of characteristic two, with Jacobian determinant 1 and generic degree 3 that is not injective. Claims about the map's properties (Jacobian, degree, injectivity) and its bearing on Jacobian-conjecture-type questions in positive characteristic belong here.

Huq-Kuruvilla's map (x+x²y, y+xz+x²yz, z+x²z²) in characteristic two has Jacobian determinant 1 and generic degree 3 yet is not injective.
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.constitutionempirical · derivedA factual claim that rests on inference from other evidence rather than direct observation.constitutionAlgebraic geometrySeparable Jacobian conjectureJacobian conjectureimportance · 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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