Computation of plurigenera of a canonical threefold

For a canonical threefold, there are few known results about plurigenera. We know that a sufficient multiple of canonical divisor generates a nontrivial linear system and that there is a universal multiple. In this talk, we are going to introduce an algorithm for computing plurigenera. Furthermore, when the algebraic euler characteristic is small, especially 1 or 2, we are going to compute plurigenera.