Real Jacobian pairs with components of low degrees
Annales Polonici Mathematici
MSC: Primary 14R15; Secondary 14P99
DOI: 10.4064/ap240827-27-12
Published online: 19 May 2025
Abstract
We prove that every polynomial submersion $(f,g):\mathbb R^2\to \mathbb R^2$ such that $\deg f\leq 5$ and $\deg g \leq 6$ is injective.