Integer points on a curve and the plane Jacobian problem

Details Integer points on a curve and the plane Jacobian problem Integer points on a curve and the plane Jacobian problem

2005-07-20

arxiv.org/abs/math/0507405v1

Ann. Polon. Math. 88 (2006), 53-58

Mathematics

Algebraic Geometry

7 pages, submitted

Scientific paper

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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