完全kÄhler流形的Carlson-griffiths理论

IF 1.1 2区数学 Q1 MATHEMATICS

Journal of the Institute of Mathematics of Jussieu Pub Date : 2022-02-14 DOI:10.1017/S1474748022000044

Xianjing Dong

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引用次数: 5

摘要

摘要我们研究了Carlson–Griffiths关于从完全Kähler流形到复射影代数流形的模同构映射的等分布理论。利用Atsuji发展的布朗运动技术，我们得到了Nevanlinna理论中的第二个主要定理，条件是源流形具有非正截面曲率。特别是，如果施加某种生长条件，则会出现缺陷关系。

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CARLSON–GRIFFITHS THEORY FOR COMPLETE KÄHLER MANIFOLDS

Abstract We investigate Carlson–Griffiths’ equidistribution theory of meormorphic mappings from a complete Kähler manifold into a complex projective algebraic manifold. By using a technique of Brownian motions developed by Atsuji, we obtain a second main theorem in Nevanlinna theory provided that the source manifold is of nonpositive sectional curvature. In particular, a defect relation follows if some growth condition is imposed.

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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.