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arXiv · 2404.06844

Non-thin rational points for elliptic K3 surfaces

Damián Gvirtz-Chen·Giacomo Mezzedimi
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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.

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Damián Gvirtz-Chen, Giacomo Mezzedimi. 2024-04-10. Non-thin rational points for elliptic K3 surfaces. https://arxiv.org/abs/2404.06844

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