General Three-dimensional Algebraic Varieties - A Model System

This paper focuses on the birationality of 3-canonical system on 3-folds of general type. Let X be a minimal 3-fold of general type and has at worst Q-factorial terminal singularities. Let KX be the canonical divisor on X. As-sume the geometric genus of X is bigger than 2. Let d=(?).By classifyingΦ1, we give a sufficient condition to obtain the birationality ofΦ3.