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arXiv · 2003.06193

Real Jacobian pairs with components of low degrees

Janusz Gwoździewicz
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Abstract

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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Janusz Gwoździewicz. 2020-03-13. Real Jacobian pairs with components of low degrees. https://arxiv.org/abs/2003.06193

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