On four-sheeted polynomial mappings of ℂ2. I. The case of an irreducible ramification curve

@article{Domrina1998OnFP,
  title={On four-sheeted polynomial mappings of ℂ2. I. The case of an irreducible ramification curve},
  author={Aleksandra Vladimirovna Domrina and S. Yu. Orevkov},
  journal={Mathematical Notes},
  year={1998},
  volume={64},
  pages={732-744}
}
The paper is devoted to the Jacobian Conjecture: a polynomial mappingf∶ℂ2→ℂ2 with a constant nonzero Jacobian is polynomially invertible. The main result of the paper is as follows. There is no four-sheeted polynomial mapping whose Jacobian is a nonzero constant such that after the resolution of the indeterminacy points at infinity there is only one added curve whose image is not a point and does not belong to infinity.