Polynomial maps with invertible sums of Jacobian matrices and of directional Derivatives

Hongbo Guo, Michiel de Bondt, Xiankun Du +1

Let $F:C^n\to C^m$ be a polynomial map with $degF=d\ge 2$. We prove that $F$ is invertible if $m=n$ and ${\sum }_{i=1}^{d-1}JF({\alpha }_i)$ is invertible for all $i$, which is…