Plane automorphisms given by polynomials of scattered degrees

TL;DR

This paper investigates plane automorphisms defined by polynomials with specific degree decompositions, aiming to understand their structure and properties.

Contribution

It introduces a novel approach to analyze plane automorphisms through polynomials with scattered degrees, providing new insights into their classification.

Findings

Characterization of automorphisms with scattered degree polynomials

Conditions under which such polynomials define automorphisms

Potential applications to polynomial automorphism classification

Abstract

We study the plane automorphisms given by polynomials with certain degree decompositions.