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Counterexamples to the Jacobian Conjecture from the viewpoint of lineability

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

math.AGarXiv:2611.03572

Abstract

Algebraic genericity in the family of polynomial counterexamples to the recently solved Jacobian Conjecture for N3 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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