Log abundance conjecture for klt threefolds in characteristic greater than 5

Let $(X,B)$ be a klt threefold pair over a field of characteristic $p>5$. The divisor $K_X+B$ is nef if it has nonnegative intersection with every curve on $X$.

Log abundance conjecture. If $K_X+B$ is nef, then it is semi-ample.

Log abundance would imply the existence of good log minimal models for klt threefold pairs with arbitrary boundary in characteristic $p>5$. The paper proves finite generation of the log canonical ring and establishes log abundance in the case where the Kodaira dimension is $2$; the general statement remains open in the supplied context.