%0 Journal Article %A François Charles %T Birational boundedness for holomorphic symplectic varieties, Zarhin’s trick for $K3$ surfaces, and the Tate conjecture %J Annals of mathematics %D 2016 %P 487-526 %V 184 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2016.184.2.4/ %R 10.4007/annals.2016.184.2.4 %G en %F 10_4007_annals_2016_184_2_4