# MMP for co-rank one foliations on threefolds

@article{Cascini2018MMPFC, title={MMP for co-rank one foliations on threefolds}, author={Paolo Cascini and Calum Spicer}, journal={arXiv: Algebraic Geometry}, year={2018} }

We prove existence of flips, special termination, the base point free theorem and, in the case of log general type, the existence of minimal models for F-dlt foliated log pairs of co-rank one on a projective threefold.
As applications, we show the existence of F-dlt modifications and F-terminalisations for foliated log pairs and we show that foliations with canonical or F-dlt singularities admit non-dicritical singularities. Finally, we show abundance in the case of numerically trivial…

## 15 Citations

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