论文标题
准log典型对及其应用的子纳
Subadjunction for quasi-log canonical pairs and its applications
论文作者
论文摘要
我们建立了一种用于准log规范对的亚审计公式。作为一个应用程序,我们证明了一个连接的射击准log典型对,其准log典型类别是抗样品,是简单地连接的,并在理性上连接了。我们还为准log典型的典型对补充了锥体定理。更确切地说,我们证明,每个负面极端射线都被理性曲线跨越。最后,我们处理了准log规范对的mori双曲线的概念。
We establish a kind of subadjunction formula for quasi-log canonical pairs. As an application, we prove that a connected projective quasi-log canonical pair whose quasi-log canonical class is anti-ample is simply connected and rationally chain connected. We also supplement the cone theorem for quasi-log canonical pairs. More precisely, we prove that every negative extremal ray is spanned by a rational curve. Finally, we treat the notion of Mori hyperbolicity for quasi-log canonical pairs.