具有运动目标的抛物流形上亚纯映射的第二个主要定理和代数依赖关系

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2023-01-01 DOI:10.2206/kyushujm.77.203

Si Duc QUANG, Nguyen Van AN, Pham Duc THOAN

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引用次数: 0

摘要

本文的目的是双重的。首先给出了用截断计数函数与运动目标相交的抛物流形亚纯映射的Nevanlinna理论中第二个主要定理的一些形式，是对最近一些结果的改进。二是将上述形式应用于抛物流形上共享运动目标的亚纯映射的代数依赖定理的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

SECOND MAIN THEOREMS AND ALGEBRAIC DEPENDENCE OF MEROMORPHIC MAPPINGS ON PARABOLIC MANIFOLDS WITH MOVING TARGETS

The purpose of this paper is twofold. The first is to give some forms of the second main theorem in Nevanlinna theory for meromorphic mappings from parabolic manifolds intersecting moving targets in general position with truncated counting functions, which are improvements of some recent results. The second is to apply the above forms to the proof of an algebraic dependence theorem for meromorphic mappings on parabolic manifolds sharing moving targets regardless of multiplicity.

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.