2 papers
math.NT2025
Galois Realisations of via non-unirational Hilbert Irreducibility
Julian Demeio, Damián Gvirtz-Chen
We establish non-unirational versions of Hilbert Irreducibility for all Hilbert modular surfaces which are of K3 type. As an application we prove new instances of the regular Inver…
math.AG2024
Non-thin rational points for elliptic K3 surfaces
Damián Gvirtz-Chen, Giacomo Mezzedimi
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 point…