沿子流形的m-次调和函数的长数

IF 1.1 2区数学 Q1 MATHEMATICS

Journal of the Institute of Mathematics of Jussieu Pub Date : 2023-11-07 DOI:10.1017/s1474748023000385

Jianchun Chu, Nicholas McCleerey

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引用次数: 0

摘要

摘要研究了紧化Kähler流形的复子流形V上的m -次调和函数$\varphi $的可能奇点，找到了$\varphi $仅依赖于V的余维m和k的最大增长率。当$k <m$，我们证明$\varphi $在最坏的情况下沿V有对数极点，而且这些极点的强度沿V是恒定的。这可以看作是Siu定理的类比。

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LELONG NUMBERS OF m-SUBHARMONIC FUNCTIONS ALONG SUBMANIFOLDS

Abstract We study the possible singularities of an m -subharmonic function $\varphi $ along a complex submanifold V of a compact Kähler manifold, finding a maximal rate of growth for $\varphi $ which depends only on m and k , the codimension of V . When $k < m$ , we show that $\varphi $ has at worst log poles along V , and that the strength of these poles is moreover constant along V . This can be thought of as an analogue of Siu’s theorem.

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来源期刊

Journal of the Institute of Mathematics of Jussieu 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.