English

DAO for curves

Dynamical Systems 2023-09-28 v2 Algebraic Geometry Number Theory

Abstract

We prove the Dynamical Andr\'e-Oort (DAO) conjecture proposed by Baker and DeMarco for families of rational maps parameterized by an algebraic curve. In fact, we prove a stronger result, which is a Bogomolov type generalization of DAO for curves.

Cite

@article{arxiv.2302.02583,
  title  = {DAO for curves},
  author = {Zhuchao Ji and Junyi Xie},
  journal= {arXiv preprint arXiv:2302.02583},
  year   = {2023}
}

Comments

52 pages

R2 v1 2026-06-28T08:32:40.543Z