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Algebraic genericity in the family of polynomial counterexamples to the recently solved Jacobian Conjecture for N≥3 is investigated. The notion of affine-coneability is introduced and it is shown that this family is affine-coneable and 1-lineable, but not 2-lineable. Semigroupability is further studied with respect to coordinatewise multiplication and composition.
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Bernal-González et al. (2026) studied this question.
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