English

Integer points on a curve and the plane Jacobian problem

Algebraic Geometry 2007-05-23 v1 Complex Variables

Abstract

A polynomial map F=(P,Q)Z[x,y]2F=(P,Q)\in \Z [x,y]^2 with Jacobian JF:=PxQyPyQx1JF:=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.

Keywords

Cite

@article{arxiv.math/0507405,
  title  = {Integer points on a curve and the plane Jacobian problem},
  author = {Nguyen Van Chau},
  journal= {arXiv preprint arXiv:math/0507405},
  year   = {2007}
}

Comments

7 pages, submitted