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Real Jacobian pairs with components of low degrees

2020/03/13 by Gwoździewicz, Janusz
#14R15 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2003.06193

Abstract

We prove that every polynomial map (f,g):ℝ2→ℝ2 with nowhere vanishing Jacobian such that deg f≤ 5, deg g ≤ 6 is injective.

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