English

The Zilber-Pink conjecture for varieties not defined over $\overline{\mathbb Q}$

Algebraic Geometry 2025-04-02 v1 Number Theory

Abstract

In this note, we prove the Zilber--Pink conjecture for subvarieties of mixed Shimura varieties, which are not defined over~Q\overline{\mathbb Q} in a strong sense. We prove similar results for general variations of mixed Hodge structure of geometric origin, assuming furthermore that they are absolute.

Keywords

Cite

@article{arxiv.2504.00865,
  title  = {The Zilber-Pink conjecture for varieties not defined over $\overline{\mathbb Q}$},
  author = {Bruno Klingler and Salim Tayou},
  journal= {arXiv preprint arXiv:2504.00865},
  year   = {2025}
}