On the equidistribution of some Hodge loci

@article{Tayou2018OnTE,
  title={On the equidistribution of some Hodge loci},
  author={Salim Tayou},
  journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
  year={2018},
  volume={2020},
  pages={167 - 194}
}
  • Salim Tayou
  • Published 17 January 2018
  • Mathematics
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
Abstract We prove the equidistribution of the Hodge locus for certain non-isotrivial, polarized variations of Hodge structure of weight 2 with h 2 , 0 = 1 {h^{2,0}=1} over complex, quasi-projective curves. Given some norm condition, we also give an asymptotic on the growth of the Hodge locus. In particular, this implies the equidistribution of elliptic fibrations in quasi-polarized, non-isotrivial families of K3 surfaces. 

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