Integer points on a curve and the plane Jacobian problem

Nguyen Van Chau. "Integer points on a curve and the plane Jacobian problem." Annales Polonici Mathematici 88.1 (2006): 53-58. <http://eudml.org/doc/280845>.

@article{NguyenVanChau2006,
abstract = {A polynomial map F = (P,Q) ∈ ℤ[x,y]² with Jacobian $JF:= P_xQ_y - P_yQ_x ≡ 1$ has a polynomial inverse with integer coefficients if the complex plane curve P = 0 has infinitely many integer points.},
author = {Nguyen Van Chau},
journal = {Annales Polonici Mathematici},
keywords = {exceptional value set; Jacobian conjecture; Keller's question},
language = {eng},
number = {1},
pages = {53-58},
title = {Integer points on a curve and the plane Jacobian problem},
url = {http://eudml.org/doc/280845},
volume = {88},
year = {2006},
}

TY - JOUR
AU - Nguyen Van Chau
TI - Integer points on a curve and the plane Jacobian problem
JO - Annales Polonici Mathematici
PY - 2006
VL - 88
IS - 1
SP - 53
EP - 58
AB - A polynomial map F = (P,Q) ∈ ℤ[x,y]² with Jacobian $JF:= P_xQ_y - P_yQ_x ≡ 1$ has a polynomial inverse with integer coefficients if the complex plane curve P = 0 has infinitely many integer points.
LA - eng
KW - exceptional value set; Jacobian conjecture; Keller's question
UR - http://eudml.org/doc/280845
ER -