MMP for co-rank one foliations on threefolds
成果类型：
Article
署名作者：
Cascini, Paolo; Spicer, Calum
署名单位：
Imperial College London
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-021-01037-1
发表日期：
2021
页码：
603-690
关键词：
摘要：
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 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.