Integer points on a curve and the plane Jacobian problem
Volume 88 / 2006
Annales Polonici Mathematici 88 (2006), 53-58
MSC: Primary 14R15.
DOI: 10.4064/ap88-1-4
Abstract
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.
