拟对数正则对的子伴随函数及其应用

IF 1.1 2区数学 Q1 MATHEMATICS

Publications of the Research Institute for Mathematical Sciences Pub Date : 2020-04-01 DOI:10.4171/prims/58-4-1

O. Fujino

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引用次数: 3

摘要

我们建立了一类准对数正则对的子伴随函数公式。作为一个应用，我们证明了一个连通投影拟对数正则对，其拟对数正则类是反充分的，是单连通的，并且是有理链连通的。我们还补充了准对数正则对的锥定理。更确切地说，我们证明了每一条负极端射线都是由一条有理曲线跨越的。最后，我们讨论了拟对数正则对的Mori双曲性的概念。

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Subadjunction for Quasi-Log Canonical Pairs and Its Applications

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.

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来源期刊

Publications of the Research Institute for Mathematical Sciences 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Publications of the Research Institute for Mathematical Sciences (PRIMS) is to publish original research papers in the mathematical sciences.