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Some remarks to the Jacobian conjecture

Lara-Dziembek S., Biernat G., Pawlak E.

Journal of Applied Mathematics and Computational Mechanics

2017

Vol. 16, nr 1

87--96

This work is related to the Jacobian Conjecture. It contains the formulas concerning algebraic dependence of the polynomial mappings having two zeros at infinity and the constant Jacobian. These relations mean that such mappings are non-invertible. They reduce the Jacobian Conjecture only to the case of mappings having one zero at infinity. This case is already solved by Abhyankar. The formulas presented in the paper were illustrated by the large example.