On the equidistribution of some Hodge loci - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2019

On the equidistribution of some Hodge loci

Résumé

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.

Dates et versions

hal-02389345 , version 1 (02-12-2019)

Identifiants

Citer

Salim Tayou. On the equidistribution of some Hodge loci. 2019. ⟨hal-02389345⟩
14 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More