On the MMP for rank one foliations on threefolds
Abstract We prove existence of flips for log canonical foliated pairs of rank one on a ${\mathbb Q}$ -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.
Authors
- Calum Spicer (ORCID: https://orcid.org/0000-0002-7418-7264)
- Paolo Cascini (ORCID: https://orcid.org/0000-0003-4958-4732)
Institutions
- King's College London (GB)
- Imperial College London (GB)
Publication Details
- Journal
- Forum of Mathematics Pi
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1017/fmp.2025.10013
- Citations
- 3
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 12.26