English

The PInchuk example revisited

Algebraic Geometry 2023-06-26 v1

Abstract

In this note we provide two special examples of non-injective polynomial maps from R2\mathbb{R}^2 to R2\mathbb{R}^2 with non-vanishing Jacobian: the first one is surjective, the second one has non-dense image.

Keywords

Cite

@article{arxiv.2306.13095,
  title  = {The PInchuk example revisited},
  author = {Filipe Fernandes and Zbigniew Jelonek},
  journal= {arXiv preprint arXiv:2306.13095},
  year   = {2023}
}
R2 v1 2026-06-28T11:12:13.883Z