English

The p-adic distance of special points to subvarieties

Number Theory 2025-10-13 v1 Algebraic Geometry

Abstract

In a paper of Tate and the author, we conjectured a uniform bound for the p-adic distance of torsion points on a semiabelian variety, not lying in a subvariety, to that subvariety. We survey the progress made on that conjecture and on similar statements in analogous situations.

Keywords

Cite

@article{arxiv.2510.08786,
  title  = {The p-adic distance of special points to subvarieties},
  author = {José Felipe Voloch},
  journal= {arXiv preprint arXiv:2510.08786},
  year   = {2025}
}