具有截断多重性的\(\mathbb P^n(\mathbb C)\)上共享\(2n\)超平面的亚纯映射的有限性

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2025-02-21 DOI:10.1007/s10476-025-00064-x

H. T. Thuy, P. D. Thoan, N. T. Nhung

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引用次数: 0

摘要

本文给出了从\(\mathbb C^m\)到\(\mathbb P^n(\mathbb C)\)的亚纯映射在一般位置上共享超平面的有限性，并截断了层级\(n\)的多重性。在我们的结果中，共享超平面的数量只是\(2n\)，而不是前面结果中的\(2n+1\)或\(2n+2\)，但是涉及亚纯映射的数量仍然不超过2。

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Finiteness of meromorphic mappings sharing \(2n\) hyperplanes in \(\mathbb P^n(\mathbb C)\) with truncated multiplicities

In this paper, we give a result on finiteness of meromorphic mappings from \(\mathbb C^m\) into \(\mathbb P^n(\mathbb C)\) sharing hyperplanes in general position with truncated multiplicities to level \(n\). In our result, the number of shared hyperplanes is just \(2n\) instead of \(2n+1\) or \(2n+2\) as in the previous results, but the number of involving meromorphic mappings still does not exceed 2.

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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.