Mordell-Lang and Skolem-Mahler-Lech theorems for endomorphisms of semiabelian varieties

TL;DR

This paper proves a dynamical Mordell-Lang conjecture for semiabelian varieties by applying the Skolem-Mahler-Lech theorem, advancing understanding of the intersection of dynamics and algebraic geometry.

Contribution

It establishes a new link between the Skolem-Mahler-Lech theorem and the dynamical Mordell-Lang conjecture in the context of semiabelian varieties.

Findings

Proves the dynamical Mordell-Lang conjecture for semiabelian varieties.

Utilizes the Skolem-Mahler-Lech theorem in a novel way.

Enhances the theoretical framework connecting dynamics and algebraic geometry.

Abstract

Using the Skolem-Mahler-Lech theorem, we prove a dynamical Mordell-Lang conjecture for semiabelian varieties.