Geodesic
Jacobian conjecture, two-dimensional case
Problemy analiza, Tome 5 (2016) no. 2, pp. 69-78

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The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping $f$: $\mathbb{R}^n \to \mathbb{R}^n$ ($\mathbb{C}^n \to \mathbb{C}^n$) provided that jacobian $J_f\equiv \mathrm{const}\ne0$. In this note we consider structure of polynomial mappings $f$ that provide $J_f\equiv \mathrm{const} \ne0$.
Mots-clés : Jacobian conjecture. 
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     author = {V. V. Starkov},
     title = {Jacobian conjecture, two-dimensional case},
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V. V. Starkov. Jacobian conjecture, two-dimensional case. Problemy analiza, Tome 5 (2016) no. 2, pp. 69-78. http://geodesic.mathdoc.fr/item/PA_2016_5_2_a5/