Non-zero constant Jacobian polynomial maps of ℂ²
Nguyen Van Chau
Annales Polonici Mathematici, Tome 72 (1999), p. 287-310 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:262821 
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Nguyen Van Chau. Non-zero constant Jacobian polynomial maps of $ℂ²$
            . Annales Polonici Mathematici, Tome 72 (1999) pp. 287-310. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv71z3p287bwm/

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