$l^p$ decouplings for hypersurfaces with nonzero Gaussian curvature
  We prove an $l^p$ decoupling inequality for hypersurfaces with nonzero Gaussian curvature and use it to derive a corresponding $l^p$ decoupling for curves not contained in a hyperplane. This extends our earlier work from [2] 
Jean Bourgain and Ciprian Demeter
math.CA