The PInchuk example revisited

Author:

Filipe Fernandes, Zbigniew Jelonek

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-05-30 16:00:00

Abstract

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

PDF: The PInchuk example revisited.pdf