完全Kähler流形上的代数退化定理

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-05-11 DOI:10.1007/s13324-025-01066-6

Mengyue Liu, Xianjing Dong

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引用次数: 0

摘要

在目标流形维数不大于源流形维数的条件下，给出了从Kähler流形到复射影流形的亚纯映射的代数退化定理。在一定的曲率或生长条件下，我们证明了任何亚纯映射如果满足缺陷关系就必须是代数简并的。

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Algebraic degeneracy theorem on complete Kähler manifolds

In this paper, we develop an algebraic degeneracy theorem for meromorphic mappings from Kähler manifolds into complex projective manifolds provided that the dimension of target manifolds is not greater than that of source manifolds. With some curvature or growth conditions imposed, we show that any meromorphic mapping must be algebraically degenerate if it satisfies a defect relation.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.