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A note on Zariski dense orbit conjecture

Algebraic Geometry 2023-12-22 v5 Dynamical Systems Number Theory

Abstract

In this paper we first note a result of birational automorphisms with bounded degree of projective varieties related with the Zariski dense orbit conjecture (ZDO) and the Zariski density of periodic points. Next, we give a reduced result of ZDO for automorphisms of projective threefolds, and showed ZDO for automorphisms of projective varieties XX with the irregularity q(X)dimX1q(X)\ge\dim X-1.

Keywords

Cite

@article{arxiv.2208.02616,
  title  = {A note on Zariski dense orbit conjecture},
  author = {Sichen Li},
  journal= {arXiv preprint arXiv:2208.02616},
  year   = {2023}
}

Comments

12 papes, this is a note of Zariski dense orbit conjecture. The original title is revised. Welcome to comments!

R2 v1 2026-06-25T01:28:39.165Z