On the density of rational points on elliptic fibrations

1998/11/07 by Fedor Bogomolov, F. Bogomolov, Bogomolov, F. +2
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Mathematics and Applications #math.AG

paper · pdf · doi:10.48550/arxiv.math/9811043

10 pages, LaTeX

arxiv created 1998/11/07 · openalex publication_date 1998/11/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let V₁ be the Fano threefold given as a hypersurface of degree 6 in P(1,1,1,2,3) (over a number field K). Then there exists a finite extension K'/K such that the set of K'-rational points of X is Zariski dense.

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