The Dynamical Mordell-Lang Conjecture for polynomial endomorphisms of the affine plane

TL;DR

This paper proves the Dynamical Mordell-Lang Conjecture specifically for polynomial endomorphisms acting on the affine plane, advancing understanding in algebraic dynamics.

Contribution

It establishes the conjecture for a new class of polynomial endomorphisms on the affine plane, expanding the scope of known cases.

Findings

Proved the conjecture for polynomial endomorphisms of the affine plane.

Extended the validity of the conjecture to a broader class of dynamical systems.

Provided new techniques for analyzing polynomial dynamics in two dimensions.

Abstract

In this paper we prove the Dynamical Mordell-Lang Conjecture for polynomial endomorphisms of the affine plane.