Geodesic
Pencils of irreducible rational curves and plane Jacobian conjecture
Nguyen Van Chau1
1 Institute of Mathematics 18 Hoang Quoc Viet 10307 Hanoi, Vietnam
Annales Polonici Mathematici, Tome 101 (2011) no. 1, pp. 47-53.

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

In certain cases the invertibility of a polynomial map $F=(P,Q): \mathbb{C}^2\rightarrow \mathbb{C}^2$ can be characterized by the irreducibility and the rationality of the curves $aP+bQ=0$, $(a:b)\in \mathbb{P}^1$.
DOI : 10.4064/ap101-1-5
Keywords: certain cases invertibility polynomial map mathbb rightarrow mathbb characterized irreducibility rationality curves mathbb

Nguyen Van Chau 1

1 Institute of Mathematics 18 Hoang Quoc Viet 10307 Hanoi, Vietnam 
@article{10_4064_ap101_1_5,
     author = { Nguyen Van Chau},
     title = {Pencils of irreducible rational curves and plane {Jacobian} conjecture},
     journal = {Annales Polonici Mathematici},
     pages = {47--53},
     publisher = {mathdoc},
     volume = {101},
     number = {1},
     year = {2011},
     doi = {10.4064/ap101-1-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap101-1-5/}
}
TY  - JOUR
AU  -  Nguyen Van Chau
TI  - Pencils of irreducible rational curves and plane Jacobian conjecture
JO  - Annales Polonici Mathematici
PY  - 2011
SP  - 47
EP  - 53
VL  - 101
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap101-1-5/
DO  - 10.4064/ap101-1-5
LA  - en
ID  - 10_4064_ap101_1_5
ER  - 
%0 Journal Article
%A  Nguyen Van Chau
%T Pencils of irreducible rational curves and plane Jacobian conjecture
%J Annales Polonici Mathematici
%D 2011
%P 47-53
%V 101
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap101-1-5/
%R 10.4064/ap101-1-5
%G en
%F 10_4064_ap101_1_5
 Nguyen Van Chau. Pencils of irreducible rational curves and plane Jacobian conjecture. Annales Polonici Mathematici, Tome 101 (2011) no. 1, pp. 47-53. doi : 10.4064/ap101-1-5. http://geodesic.mathdoc.fr/articles/10.4064/ap101-1-5/

Cité par Sources :