Valloni, Domenico2024-06-052024-06-052024-06-052024-05-1010.1093/imrn/rnae088https://infoscience.epfl.ch/handle/20.500.14299/208324WOS:001219736200001We give a characterization of rational points lying on the Noether-Lefschetz locus of moduli spaces of K3 surfaces by studying their lifting properties under some natural coverings of the ambient space. We then prove that the Bombieri-Lang conjecture implies non-density statements for the rational points in the Noether-Lefschetz locus, as predicted by a conjecture of Shafarevich.Physical SciencesKodaira DimensionKummer SurfacesConjecturestext::journal::journal article::research article