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Integer points on a curve and the plane Jacobian problem

Nguyen Van Chau
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Abstract

A polynomial map $F=(P,Q)\in \Z [x,y]^2$ with Jacobian $JF:=P_xQ_y-P_yQ_x\equiv 1$ has a polynomial inverse of integer coefficients if the complex plane curve P=0 has infinitely many integer points.

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Nguyen Van Chau. 2005-07-20. Integer points on a curve and the plane Jacobian problem. https://arxiv.org/abs/math/0507405

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