NON-VANISHING THEOREM FOR LOG CANONICAL PAIRS
NON-VANISHING THEOREM FOR LOG CANONICAL PAIRS
复制标题
DOI：
10.1090/s1056-3911-2010-00558-9
复制
发表时间：
2009-01
影响因子：
1.8
通讯作者：
O. Fujino
中科院分区：
文献类型：
--
作者：
O. Fujino
我们得到了对数典型对的Shokurov非零定理的一个正确推广.它蕴涵了对数典型对的基点自由定理。我们还证明了对数典型对的合理性定理。作为推论，我们得到了对数典型对的锥定理。我们不需要安布罗的理论准对数品种。
We obtain a correct generalization of Shokurov's non- vanishing theorem for log canonical pairs. It implies the base point free theorem for log canonical pairs. We also prove the rationality theorem for log canonical pairs. As a corollary, we obtain the cone theorem for log canonical pairs. We do not need Ambro's theory of quasi-log varieties.