MMP for co-rank one foliations on threefolds

DOI10.1007/S00222-021-01037-1zbMATH Open1492.14025arXiv1808.02711OpenAlexW3134697029MaRDI QIDQ2049901

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Publication date: 27 August 2021

Published in: (Search for Journal in Brave)

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 $mathbbQ$-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.

Full work available at URL: https://arxiv.org/abs/1808.02711

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