Integer points on a curve and the plane Jacobian problem

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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.
7 pages, submitted

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Algebraic Geometry, Complex Variables, 14R15

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http://salesiana.dossiersoluciones.com/handle/123456789/98404

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507405
 http://arxiv.org/abs/math/0507405
 Ann. Polon. Math. 88 (2006), 53-58

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arXiv