The plane Jacobian conjecture for rational curves
Algebraic Geometry
2019-07-09 v3
Abstract
Let K be an algebraically closed field of characteristic zero and let f(x,y) be a nonzero polynomial of K[x,y]. We prove that if the generic element of the family is a rational polynomial, and if the Jacobian J(f,g) is a nonzero constant for some polynomial g in K[x,y], then K[f,g] =K[x,y].
Cite
@article{arxiv.1807.03991,
title = {The plane Jacobian conjecture for rational curves},
author = {Abdallah Assi},
journal= {arXiv preprint arXiv:1807.03991},
year = {2019}
}
Comments
The paper has been withdrawn due to an incomplete argument in the main result (page 4)