On the Abundance Problem for $3$-folds in characteristic $p>5$

Omprokash Das, Joe Waldron

In this article we prove two cases of the abundance conjecture for $3$-folds in characteristic $p>5$: $(i)$ $(X,\Delta )$ is KLT and $\kappa (X,K_X+\Delta )=1$, and $(ii)$ $(X,0)$ is KLT, $K_X\eq…