A new characterization of the invertibility of polynomial maps
Commutative Algebra
2016-01-05 v1
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.
Keywords
Cite
@article{arxiv.1601.00332,
title = {A new characterization of the invertibility of polynomial maps},
author = {Elzbieta Adamus and Pawel Bogdan and Teresa Crespo and Zbigniew Hajto},
journal= {arXiv preprint arXiv:1601.00332},
year = {2016}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1506.01654