On the pluricanonical map of projective 3-folds of general type with $P_3 \geq 2$

Abstract

We prove that for all nonsingular projective 3-folds of general type with third plurigenus $P_3 \geq 2$, the pluricanonical map $\varphi_m$ is birational onto its image for all $m \geq 14$, which is optimal.