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...

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  • ALGEBRAIC GEOMETRY