Geodesic
Integer points on a curve and the plane Jacobian problem
Nguyen Van Chau1
1 Institute of Mathematics 18 Hoang Quoc Viet Road 10307 Hanoi, Vietnam
Annales Polonici Mathematici, Tome 88 (2006) no. 1, pp. 53-58

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

A polynomial map $F=(P,Q)\in {\mathbb Z} [x,y]^2$ with Jacobian $JF:=P_xQ_y-P_yQ_x\equiv 1$ has a polynomial inverse with integer coefficients if the complex plane curve $P=0$ has infinitely many integer points.
DOI : 10.4064/ap88-1-4
Keywords: polynomial map mathbb jacobian y p equiv has polynomial inverse integer coefficients complex plane curve has infinitely many integer points

Nguyen Van Chau 1

1 Institute of Mathematics 18 Hoang Quoc Viet Road 10307 Hanoi, Vietnam 
@article{10_4064_ap88_1_4,
     author = {Nguyen Van Chau},
     title = {Integer points on a curve and 
the plane {Jacobian} problem},
     journal = {Annales Polonici Mathematici},
     pages = {53--58},
     publisher = {mathdoc},
     volume = {88},
     number = {1},
     year = {2006},
     doi = {10.4064/ap88-1-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap88-1-4/}
}
TY  - JOUR
AU  - Nguyen Van Chau
TI  - Integer points on a curve and 
the plane Jacobian problem
JO  - Annales Polonici Mathematici
PY  - 2006
SP  - 53
EP  - 58
VL  - 88
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap88-1-4/
DO  - 10.4064/ap88-1-4
LA  - en
ID  - 10_4064_ap88_1_4
ER  - 
%0 Journal Article
%A Nguyen Van Chau
%T Integer points on a curve and 
the plane Jacobian problem
%J Annales Polonici Mathematici
%D 2006
%P 53-58
%V 88
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap88-1-4/
%R 10.4064/ap88-1-4
%G en
%F 10_4064_ap88_1_4
Nguyen Van Chau. Integer points on a curve and 
the plane Jacobian problem. Annales Polonici Mathematici, Tome 88 (2006) no. 1, pp. 53-58. doi: 10.4064/ap88-1-4

Cité par Sources :