Geodesic
A geometric approach to the Jacobian Conjecture in ℂ²
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 95-101.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider polynomial mappings (f,g) of ℂ² with constant nontrivial jacobian. Using the Riemann-Hurwitz relation we prove among other things the following: If g - c (resp. f - c) has at most two branches at infinity for infinitely many numbers c or if f (resp. g) is proper on the level set $g^{-1}(0)$ (resp. $f^{-1}(0)$), then (f,g) is bijective.
DOI : 10.4064/ap-55-1-95-101

Ludwik Drużkowski 1

1 
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Ludwik Drużkowski. A geometric approach to the Jacobian Conjecture in ℂ². Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 95-101. doi : 10.4064/ap-55-1-95-101. http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-95-101/

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