Conjugation for polynomial mappings
This paper suggests a new approach to the Jacobian Conjecture. For a polynomial mapping \(f: \mathbb{C}^n\to \mathbb{C}^n\) with \(f(0)= 0\), \(f'(0)= \text{Id}\) and \(\text{det } f'(x)= 1\) for all \(x\) in \(\mathbb{C}^n\), the authors look for entire mappings \(h_\lambda: \mathbb{C}^n\to \mathbb{C}^n\) conjugating \(\lambda f\) to its linear part \(\lambda\text{ Id}\) at the origin.
scientific article; zbMATH DE number 831610
scientific article