Real Jacobian pairs with components of low degrees
13 Mar 2020
·
Gwoździewicz Janusz·
We prove that every polynomial map $(f,g):\mathbb{R}^2\to\mathbb{R}^2$ with
nowhere vanishing Jacobian such that $\mathrm{deg}\, f\leq 5$, $\mathrm{deg}\,g
\leq 6$ is injective.