On base point freeness for rank one foliations
Algebraic Geometry
2026-01-21 v2
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.
Cite
@article{arxiv.2509.03109,
title = {On base point freeness for rank one foliations},
author = {Paolo Cascini and Calum Spicer},
journal= {arXiv preprint arXiv:2509.03109},
year = {2026}
}
Comments
12 pages. Minor changes based on referee's suggestions. Final version. Pure and Applied Mathematics Quarterly, Special issue for James McKernan's 60th