Geodesic
Non-zero constant Jacobian polynomial maps of $ℂ²$
Annales Polonici Mathematici, Tome 71 (1999) no. 3, pp. 287-310

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

We study the behavior at infinity of non-zero constant Jacobian polynomial maps f = (P,Q) in ℂ² by analyzing the influence of the Jacobian condition on the structure of Newton-Puiseux expansions of branches at infinity of level sets of the components. One of the results obtained states that the Jacobian conjecture in ℂ² is true if the Jacobian condition ensures that the restriction of Q to the curve P = 0 has only one pole.
DOI : 10.4064/ap-71-3-287-310
Mots-clés : Jacobian conjecture, polynomial automorphism, Newton-Puiseux expansion

Nguyen Chau 1

1 
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Nguyen Chau. Non-zero constant Jacobian polynomial maps of $ℂ²$. Annales Polonici Mathematici, Tome 71 (1999) no. 3, pp. 287-310. doi: 10.4064/ap-71-3-287-310

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