Difference analogues of the second main theorem for holomorphic curves and arbitrary families of hypersurfaces in projective varieties

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2024-07-01 DOI:10.1007/s10476-024-00036-7

T. B. Cao, N. V. Thin, S. D. Quang

引用次数: 0

Abstract

Our goal in this paper is to establish some difference analogue of second main theorems for holomorphic curves into projective varieties intersecting arbitrary families of c-periodical hypersurfaces (fixed or moving) with truncated counting functions in various cases. Our results generalize and improve the previous results in this topic.

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全形曲线和投影面中任意超曲面族第二主定理的差分类似物

本文的目标是在各种情况下，建立与具有截断计数函数的 c 周期超曲面（固定或移动）的任意族相交的全形曲线进入投影变种的第二主定理的一些差分类比。我们的结果概括并改进了这一课题以前的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.