On the MMP for rank one foliations on threefolds
Algebraic Geometry
2025-10-01 v2
Abstract
We prove existence of flips for log canonical foliated pairs of rank one on a Q-factorial projective klt threefold. This, in particular, provides a proof of the existence of a minimal model for a rank one foliation on a threefold for a wider range of singularities, after McQuillan.
Keywords
Cite
@article{arxiv.2012.11433,
title = {On the MMP for rank one foliations on threefolds},
author = {Paolo Cascini and Calum Spicer},
journal= {arXiv preprint arXiv:2012.11433},
year = {2025}
}
Comments
57 pages. Exposition improved based on referee's suggestions. Final version. Forum of Mathematics, Pi (to appear)