The p-adic distance of special points to subvarieties

Fuente: arXiv
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Main Author: Voloch, José Felipe
Format: Preprint
Published: 2025
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author Voloch, José Felipe
author_facet Voloch, José Felipe
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_08786
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The p-adic distance of special points to subvarieties
Voloch, José Felipe
Number Theory
Algebraic Geometry
14G20, 11G25
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.
title The p-adic distance of special points to subvarieties
topic Number Theory
Algebraic Geometry
14G20, 11G25
url https://arxiv.org/abs/2510.08786