%0 Journal Article %A Vadim Kaloshin %A Alfonso Sorrentino %T On the local Birkhoff conjecture for convex billiards %J Annals of mathematics %D 2018 %P 315-380 %V 188 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2018.188.1.6/ %R 10.4007/annals.2018.188.1.6 %G en %F 10_4007_annals_2018_188_1_6