English

On the Geometric Zilber-Pink Theorem and the Lawrence-Venkatesh method

Algebraic Geometry 2022-10-11 v2 Number Theory

Abstract

Using our recent results on the algebraicity of the Hodge locus for variations of Hodge structures of level at least 33, we improve the results of Lawrence-Venkatesh in direction of the refined Bombieri-Lang conjecture.

Keywords

Cite

@article{arxiv.2112.13040,
  title  = {On the Geometric Zilber-Pink Theorem and the Lawrence-Venkatesh method},
  author = {Gregorio Baldi and Bruno Klingler and Emmanuel Ullmo},
  journal= {arXiv preprint arXiv:2112.13040},
  year   = {2022}
}