The nef abundance conjecture for Calabi–Yau threefolds

Let $X$ be a Calabi–Yau $3$-fold and let $L$ be a nef divisor on $X$. Nef abundance conjecture. The divisor $L$ is semiample. The surrounding discussion derives this assertion from the log abundance theorem when $L$ is effective; the stated conjecture omits effectivity, so the general case remains open in the source.