Geodesic
A note on the plane Jacobian conjecture
Nguyen Van Chau1
1 Institute of Mathematics Vietnam Academy of Science and Technology 18 Hoang Quoc Viet 10307 Hanoi,Vietnam
Annales Polonici Mathematici, Tome 105 (2012) no. 1, pp. 13-19

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

It is shown that every polynomial function $P:\mathbb{C}^2\to\mathbb{C}$ with irreducible fibres of the same genus must be a coordinate. Consequently, there do not exist counterexamples $F=(P,Q)$ to the Jacobian conjecture such that all fibres of $P$ are irreducible curves with the same genus.
DOI : 10.4064/ap105-1-2
Keywords: shown every polynomial function mathbb mathbb irreducible fibres genus coordinate consequently there exist counterexamples jacobian conjecture fibres irreducible curves genus

Nguyen Van Chau 1

1 Institute of Mathematics Vietnam Academy of Science and Technology 18 Hoang Quoc Viet 10307 Hanoi,Vietnam 
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Nguyen Van Chau. A note on the plane Jacobian conjecture. Annales Polonici Mathematici, Tome 105 (2012) no. 1, pp. 13-19. doi: 10.4064/ap105-1-2

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