Jacobian Conjecture

introduction

Let y=F(z) a polynomial system in C^n. The Jacobian Conjecture (JC) states that F is invertible, and its inverse is polynomial, if and only if the determinant of the Jacobian matrix J_F(z) = (d F_j(z)/d z_i)_{i,j=1..n} is a non-zero constant.
what is the set of automorphisms of an affine space? Jacobian conjecture is about the polynomial automorphisms whose jacobians are constant.

De Goursac, A., A. Sportiello, and A. Tanasa. ‘Degree Reduction in the Jacobian Conjecture, a Combinatorial Quantum Field Theoretical Approach’. arXiv:1411.6558 [hep-Th], 17 November 2014. http://arxiv.org/abs/1411.6558.

Yucai Su, Keller maps and 2-dimensional Jacobi conjecture, http://arxiv.org/abs/1603.01867v1