Geodesic
Note on the Jacobian condition and the non-proper value set
Nguyen Van Chau1
1 Hanoi Institute of Mathematics 18 Hoang Quoc Viet, 10307 Hanoi, Vietnam
Annales Polonici Mathematici, Tome 84 (2004) no. 3, pp. 203-210.

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

We show that the non-proper value set of a polynomial map $(P,Q): {{\mathbb C}}^2\rightarrow {{\mathbb C}}^2$ satisfying the Jacobian condition $\mathop {\rm det}D(P,Q)\equiv {\rm const}\not =0$, if non-empty, must be a plane curve with one point at infinity.
DOI : 10.4064/ap84-3-2
Keywords: non proper value set polynomial map mathbb rightarrow mathbb satisfying jacobian condition mathop det equiv const non empty plane curve point infinity

Nguyen Van Chau 1

1 Hanoi Institute of Mathematics 18 Hoang Quoc Viet, 10307 Hanoi, Vietnam 
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Nguyen Van Chau. Note on the Jacobian condition and the
 non-proper value set. Annales Polonici Mathematici, Tome 84 (2004) no. 3, pp. 203-210. doi : 10.4064/ap84-3-2. http://geodesic.mathdoc.fr/articles/10.4064/ap84-3-2/

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