Computation of the Maximal Degree of the Inverse of a Cubic Automorphism of the Affine Plane with Jacobian 1 via Gröbner Bases

In this paper we propose to compute the maximal degree of the inverse of a cubic automorphism of the affine plane with Jacobian 1 via Gröbner Bases. This degree is equal to 9 and we give coefficients of the inverse.