## View abstract

### Session S14 - Global Injectivity, Jacobian Conjecture, and Related Topics

Monday, July 12, 14:00 ~ 14:50 UTC-3

## Real Jacobian mates

### Janusz Gwoździewicz

Let $p$ be a real polynomial in two variables. We say that a polynomial~$q$ is a real Jacobian mate of $p$ if the Jacobian determinant of the mapping $(p,q):\mathbb{R}^2\to\mathbb{R}^2$ vanishes nowhere.
[1] F. Braun, J.R. dos Santos Filho, The real jacobian conjecture on $\mathbb{R}^2$ is true when one of the components has degree $3$, Discrete Contin. Dyn. Syst. 26, (2010) 75--87.
[2] F. Braun, B. Oré-Okamoto, On polynomial submersions of degree $4$ and the real Jacobian conjecture in $\mathbb{R}^2$, J. Math. Anal. Appl 443, (2016) 688--706.