%0 Journal Article %A Igor Rodnianski %A Jacob Sterbenz %T On the formation of singularities in the critical $O(3)$ $\sigma$-model %J Annals of mathematics %D 2010 %P 187-242 %V 172 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.187/ %R 10.4007/annals.2010.172.187 %G en %F 10_4007_annals_2010_172_187