\(p\)-Conjecture for tame automorphisms of \(\mathbb{C}^3\)

• Date: 2025
• Main Authors: Holik, Daria, Karaś, Marek
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2025
• Subjects: polynomial automorphism; tame automorphism; wild automorphism; multidegree; 14Rxx; 14R10; 16W20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2349
• Journal Title: Algebra and Discrete Mathematics

The famous Jung-van der Kulk [4, 11] theorem says that any polynomial automorphism of \(\mathbb{C}^2\) can be decomposed into a finite number of affine automorphisms and triangular automorphisms, i.e. that any polynomial automorphism of \(\mathbb{C}^2\) is a tame automorphism. In [5] there is a conj...