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arXiv · 1808.02711

MMP for co-rank one foliations on threefolds

Paolo Cascini·Calum Spicer
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Abstract

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 pairs of co-rank one on a $\mathbb Q$-factorial projective threefold. As applications, we show the existence of F-dlt modifications and F-terminalisations for foliated 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 foliated pairs.

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Paolo Cascini, Calum Spicer. 2018-08-08. MMP for co-rank one foliations on threefolds. https://doi.org/10.1007/s00222-021-01037-1

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