An inversion algorithm for polynomial maps
Commutative Algebra
2015-06-05 v1
Abstract
We present an algorithmic equivalent statement to the Jacobian conjecture. Given a polynomial map F on an affine space of dimension n, our algorithm constructs n sequences of polynomials such that F is invertible if and only if the zero polynomial appears in all n sequences and moreover computes the inverse map of F. This algorithm provides a classification of polynomial automorphisms of affine spaces.
Cite
@article{arxiv.1506.01654,
title = {An inversion algorithm for polynomial maps},
author = {Elzbieta Adamus and Pawel Bogdan and Teresa Crespo and Zbigniew Hajto},
journal= {arXiv preprint arXiv:1506.01654},
year = {2015}
}