Kernels for noncommutative projective schemes (Q2073910)

Summary: We give a noncommutative geometric description of the internal Hom dg-category in the homotopy category of dg-categories between two noncommutative projective schemes in the style of \textit{M. Artin} and \textit{J. J. Zhang} [Adv. Math. 109, No. 2, 228--287 (1994; Zbl 0833.14002)]. As an immediate application, we give a noncommutative projective derived Morita statement along the lines of Rickard and Orlov.