On the MMP for rank one foliations on threefolds

Paolo Cascini, Calum Spicer

Published: 2020/12/21

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.