2019/09/03 by Fabrizio Barroero, Barroero, Fabrizio, Gabriel A. Dill +1 · 1 citation
Computer Science · Mathematics · #11G10 #14K12 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1909.01271
openalex publication_date 2019/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
In this article, we prove that the Zilber-Pink conjecture for abelian varieties over an arbitrary field of characteristic 0 is implied by the same statement for abelian varieties over the algebraic numbers. More precisely, the conjecture holds for subvarieties of dimension at most m in the abelian variety A if it holds for subvarieties of dimension at most m in the largest abelian subvariety of A that is isomorphic to an abelian variety defined over ℚ.