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arXiv · 2611.03572

Counterexamples to the Jacobian Conjecture from the viewpoint of lineability

L. Bernal-González·M. C. Calderón-Moreno·J. A. Prado-Bassas
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Abstract

Algebraic genericity in the family of polynomial counterexamples to the recently solved Jacobian Conjecture for $N\ge3$ 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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L. Bernal-González, M. C. Calderón-Moreno, J. A. Prado-Bassas. 2026-11-02. Counterexamples to the Jacobian Conjecture from the viewpoint of lineability. https://arxiv.org/abs/2611.03572

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