%0 Journal Article %A Max Lieblich %T The period-index problem for fields of transcendence degree $2$ %J Annals of mathematics %D 2015 %P 391-427 %V 182 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.182.2.1/ %R 10.4007/annals.2015.182.2.1 %G en %F 10_4007_annals_2015_182_2_1