“…Previously we have mentioned Christ [Chr82,Chr85] and Mockenhaupt [Moc96]. Other than these, Oberlin [Obe04] studied Fourier restriction estimates and L p → L q improving estimates for the surface (ξ 1 , ξ 2 , ξ 3 , ξ 2 1 + ξ 2 2 , ξ 2 2 + ξ 2 3 ), which is a surface that satisfies the (CM) condition; Banner [Ban02] studied restriction estimates for certain surfaces not satisfying the (CM) condition; Bak and Lee [BL04], and Oberlin [Obe02] obtained sharp Fourier restriction estimates for certain quadratic moment surfaces of high co-dimensions; Bak, Lee and Lee [BLL17] studied bilinear Fourier restriction estimates for surfaces of co-dimension bigger than one and deduce a linear restriction estimate for the complex paraboloid in C 3 , which can be identified with (ξ 1 , ξ 2 , ξ 3 , ξ 4 , ξ 2 1 − ξ 2 2 + ξ 2 3 − ξ 2 4 , ξ 1 ξ 2 + ξ 3 ξ 4 ); Lee and Lee [LL19] studied restriction estimates for complex hyper-surfaces, which can also be viewed as special cases of real surfaces of co-dimension two, in some high dimensions.…”