Non-thin rational points for elliptic K3 surfaces
Algebraic Geometry
2024-04-11 v1 Number Theory
Abstract
We prove that elliptic K3 surfaces over a number field which admit a second elliptic fibration satisfy the potential Hilbert property. Equivalently, the set of their rational points is not thin after a finite extension of the base field. Furthermore, we classify those families of elliptic K3 surfaces over an algebraically closed field which do not admit a second elliptic fibration.
Cite
@article{arxiv.2404.06844,
title = {Non-thin rational points for elliptic K3 surfaces},
author = {Damián Gvirtz-Chen and Giacomo Mezzedimi},
journal= {arXiv preprint arXiv:2404.06844},
year = {2024}
}
Comments
11 pages