MMP for co-rank one foliations on threefolds
MMP for co-rank one foliations on threefolds
复制标题
DOI：
10.1007/s00222-021-01037-1
复制
发表时间：
2018-08
影响因子：
3.1
通讯作者：
P. Cascini;Calum Spicer
中科院分区：
文献类型：
--
作者：
P. Cascini;Calum Spicer
我们证明存在的翻转，特殊终止，基点自由定理，并在日志一般类型的情况下，存在的最小模型的F-dlt叶对的共同秩1上的Q-阶乘投影三倍。作为应用，我们表明存在的F-dlt修改和F-terminalisations的叶状对，我们表明，叶状规范或F-dlt奇点承认非临界奇点。最后，我们在数值平凡的叶状对的情况下，显示丰富。
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.