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

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.

With an Appendix by Christopher Hacon. Some reference updated and minor changes. This is the final version

References in corpus (1)

• Abundance for non-uniruled 3-folds with non-trivial Albanese maps in positive characteristics

Cited by in corpus (2)

• Nonvanishing for threefolds in characteristic $p>5$
• Abundance for non-uniruled 3-folds with non-trivial Albanese maps in positive characteristics