Torsion subschemes and the Tate-Voloch conjecture over p-adic fields

2013/09/27 by Cyrille Corpet, Corpet, Cyrille · 1 citation
Computer Science · Mathematics · #(11G25 #14G20 #14K15) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1309.7237

openalex publication_date 2013/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new proof of the Tate-Voloch conjecture, in the situation where the ambient variety is a semiabelian variety defined over Qp. Our proof is new in the sense that it avoids any reference to algebraic model theory or p-adic Hodge theory.

Citations

• On the p-adic distance between a point of finite order and a curve of genus higher or equal to two
• The Tate-Voloch Conjecture in a Power of a Modular Curve

Cited by

• The p-adic distance of special points to subvarieties

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