Decouplings for three-dimensional surfaces in $\mathbb{R}^{6}$
  We obtain the sharp $l^p$ decoupling for three-dimensional nondegenerate surfaces in $\mathbb{R}^6$. This can be thought of as a generalization of Bourgain and Demeter's result, which is the sharp $l^p$ decoupling for two-dimensional nondegenerate surfaces in $\mathbb{R}^4$. 
Changkeun Oh
math.CA