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arXiv · 1801.05751

On the equidistribution of some Hodge loci

Salim Tayou
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Abstract

We prove the equidistribution of the Hodge locus for certain non-isotrivial, polarized variations of Hodge structure of weight $2$ with $h^{2,0}=1$ 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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Salim Tayou. 2018-01-17. On the equidistribution of some Hodge loci. https://arxiv.org/abs/1801.05751

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