English

Unlikely intersections in Shimura varieties and beyond: a survey

Number Theory 2025-06-04 v1 Algebraic Geometry Logic

Abstract

The aim of this note is to provide a concise introduction to so-called problems of unlikely intersections for (pure) Shimura varieties and to review the current state-of-the-art. In the process, we will touch upon more general settings and some of the results in those contexts.

Keywords

Cite

@article{arxiv.2506.02900,
  title  = {Unlikely intersections in Shimura varieties and beyond: a survey},
  author = {Christopher Daw},
  journal= {arXiv preprint arXiv:2506.02900},
  year   = {2025}
}

Comments

30 pages; comments welcome

R2 v1 2026-07-01T02:57:00.833Z