English

Heights on 'Hybrid orbits' in Shimura varieties

Number Theory 2024-07-08 v2

Abstract

We prove the 'hybrid conjecture' which is a common generalisation of the Andre\'e-Oort conjecture and the Andr\'e-Pink-Zannier conjecture, in the case of Shimura varieties of abelian type.

Keywords

Cite

@article{arxiv.2406.20013,
  title  = {Heights on 'Hybrid orbits' in Shimura varieties},
  author = {Rodolphe Richard and Andrei Yafaev},
  journal= {arXiv preprint arXiv:2406.20013},
  year   = {2024}
}
R2 v1 2026-06-28T17:22:46.964Z