Existence of Mori fibre spaces for 3-folds in char $p$
  We prove the following results for projective klt pairs of dimension $3$ over an algebraically closed field of char $p>5$: the cone theorem, the base point free theorem, the contraction theorem, finiteness of minimal models, termination with scaling, existence of Mori fibre spaces, etc. 
Caucher Birkar and Joe Waldron
math.AG