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

Published 11 Oct 2016 in math.AG | (1610.03403v3)

Abstract: 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, $K_X\equiv 0$ and $X$ is not uniruled.

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