Dynamical Mordell-Lang conjecture for split self-maps of affine curve times projective curve

Junyi Xie; She Yang; Aoyang Zheng

Dynamical Mordell-Lang conjecture for split self-maps of affine curve times projective curve

Dynamical Systems 2026-04-17 v2 Algebraic Geometry Number Theory

Authors: Junyi Xie , She Yang , Aoyang Zheng

Abstract

We prove the dynamical Mordell-Lang conjecture for product of endomorphisms of an affine curve and a projective curve over $\overline{\mathbb{Q}}$ .

Keywords

dynamical Mordell-Lang conjecture endomorphism affine curve projective curve product algebraic dynamics

Cite

@article{arxiv.2602.08608,
  title  = {Dynamical Mordell-Lang conjecture for split self-maps of affine curve times projective curve},
  author = {Junyi Xie and She Yang and Aoyang Zheng},
  journal= {arXiv preprint arXiv:2602.08608},
  year   = {2026}
}