Zariski dense orbits for endomorphisms of a power of the additive group scheme defined over finite fields

Dragos Ghioca; Sina Saleh

Zariski dense orbits for endomorphisms of a power of the additive group scheme defined over finite fields

Number Theory 2022-03-01 v1

Authors: Dragos Ghioca , Sina Saleh

Abstract

We prove the Zariski dense orbit conjecture in positive characteristic for endomorphisms of $\mathbb{G}_a^N$ defined over $\overline{\mathbb{F}_p}$ .

Keywords

zariski dense orbit endomorphisms additive group scheme finite fields positive characteristic

Cite

@article{arxiv.2202.13497,
  title  = {Zariski dense orbits for endomorphisms of a power of the additive group scheme defined over finite fields},
  author = {Dragos Ghioca and Sina Saleh},
  journal= {arXiv preprint arXiv:2202.13497},
  year   = {2022}
}