多次谐函数的新表征和直映剪切的实在性

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2024-05-24 DOI:10.1353/ajm.2024.a928324

Fusheng Deng, Zhiwei Wang, Liyou Zhang, Xiangyu Zhou

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引用次数: 0

摘要

摘要:我们发现了从一点出发$L^p$扩展的多次谐函数的新特征，以及从$L^p$扩展的具有奇异芬斯勒度量的全形向量束的格里菲斯正定性。作为应用，我们给出了一些著名定理的更强结果或新证明，这些定理涉及全形向量束的格里菲斯正定性及其与某些全形纤度相关的直像剪。

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New characterization of plurisubharmonic functions and positivity of direct image sheaves

abstract:

We discover a new characterization of plurisubharmonic functions in terms of $L^p$ extension from one point and Griffiths positivity of holomorphic vector bundles with singular Finsler metrics in terms of $L^p$ extensions. As applications, we give a stronger result or new proof of some well-known theorems on the Griffiths positivity of the holomorphic vector bundles and their direct image sheaves associated to certain holomorphic fibrations.

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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.