Varieties with pseudoeffective canonical divisor and their Kodaira dimension

Abstract

Let X be a smooth, projective variety over the field of complex numbers. Here we focus on a conjecture attributed to Shigefumi Mori, which claims that X is uniruled if and only if the Kodaira dimension of X is negative.

5 pages, Theorem 2.3 and Theorem 2.4 revised