A note on unlikely intersections in Shimura varieties
Number Theory
2024-03-13 v3 Logic
Abstract
We discuss the relationships between the Andr\'e-Oort, Andr\'e-Pink-Zannier, and Mordell-Lang conjectures for Shimura varieties. We then combine the latter with the geometric Zilber-Pink conjecture to obtain some new results on unlikely intersections in Shimura varieties.
Keywords
Cite
@article{arxiv.2209.07967,
title = {A note on unlikely intersections in Shimura varieties},
author = {Vahagn Aslanyan and Christopher Daw},
journal= {arXiv preprint arXiv:2209.07967},
year = {2024}
}