Strictly nef canonical bundle conjecture

Let $X$ be a projective manifold. The canonical bundle is denoted by $K_X$.

Strictly nef canonical bundle conjecture. If $K_X$ is strictly nef, then $K_X$ is ample.

The paper describes this dual statement as a consequence of the abundance conjecture; it is therefore tied to the expected relationship between numerical positivity and ampleness for canonical bundles.