全质量交叉流的Lelong数

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2020-08-20 DOI:10.1353/ajm.2023.0016

Duc-Viet Vu

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引用次数: 4

摘要

研究了混合环境下紧化Kaehler流形上满质量交流的Lelong数。我们的主要定理涵盖了Darvas-Di Nezza-Lu最近的一些结果。我们的方法的关键成分之一是伪有效类积的新概念，它捕获了给定伪有效类的“总交集”的某些“多极部分”。

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Lelong numbers of currents of full mass intersection

We study Lelong numbers of currents of full mass intersection on a compact Kaehler manifold in a mixed setting. Our main theorems cover some recent results due to Darvas-Di Nezza-Lu. One of the key ingredients in our approach is a new notion of products of pseudoeffective classes which captures some "pluripolar part" of the "total intersection" of given pseudoeffective classes.

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来源期刊

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.