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Real Jacobian pairs with components of low degrees

Volume 135 / 2025

Janusz Gwoździewicz Annales Polonici Mathematici 135 (2025), 185-194 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.

Authors

  • Janusz GwoździewiczInstitute of Mathematics
    Uniwersytet Komisji Edukacji Narodowej w Krakowie
    30-084 Kraków, Poland
    e-mail

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