On base point freeness for rank one foliations

Abstract

We prove the base point free theorem for log canonical foliated pairs of rank one on a Q-factorial projective klt threefold. Moreover, we show abundance in the case of numerically trivial log canonical foliated pairs of rank one in any dimension.

arXiv comment12 pages. Minor changes based on referee's suggestions. Final version. Pure and Applied Mathematics Quarterly, Special issue for James McKernan's 60th