Local to global principle for the moduli space of K3 surfaces

@article{Baldi2018LocalTG,
  title={Local to global principle for the moduli space of K3 surfaces},
  author={G. Baldi},
  journal={Archiv der Mathematik},
  year={2018},
  volume={112},
  pages={599-613}
}
  • G. Baldi
  • Published 2018
  • Mathematics
  • Archiv der Mathematik
Recently S. Patrikis, J.F. Voloch, and Y. Zarhin have proven, assuming several well-known conjectures, that the finite descent obstruction holds on the moduli space of principally polarised abelian varieties. We show an analogous result for K3 surfaces, under some technical restrictions on the Picard rank. This is possible since abelian varieties and K3s are quite well described by ‘Hodge-theoretical’ results. In particular the theorem we present can be interpreted as follows: a family of… Expand
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