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arXiv · 1601.00332

A new characterization of the invertibility of polynomial maps

Elzbieta Adamus·Pawel Bogdan·Teresa Crespo·Zbigniew Hajto
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Abstract

In this paper we present an equivalent statement to the Jacobian conjecture. For a polynomial map F on an affine space of dimension n, we define recursively n finite sequences of polynomials. We give an equivalent condition to the invertibility of F as well as a formula for the inverse of F in terms of these finite sequences of polynomials. Some examples illustrate the effective aspects of our approach.

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Elzbieta Adamus, Pawel Bogdan, Teresa Crespo, Zbigniew Hajto. 2016-01-03. A new characterization of the invertibility of polynomial maps. https://arxiv.org/abs/1601.00332

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