有限低阶相交超曲面全纯曲线的缺陷关系

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2024-11-26 DOI:10.1016/j.jmaa.2024.129086

Nguyen Viet Phuong , Ta Thi Hoai An

引用次数: 0

摘要

本文给出了一类全纯映射的缺陷关系的一个较好的上界，该结果由[9]中的超平面推广到超曲面。更准确地说，让D1，D2，…，Dq是一般位置上的超曲面，设f:C→Pn(C)是低阶μ的全纯映射，使得f(C)对所有i=1,2，…，q都是相对于Di的。如果0<；μ≤1/2，则∑i=1qδf(Di)≤n。

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Defect relations for holomorphic curves of finite lower order intersecting hypersurfaces

In this paper, we will give a better upper bound for the defect relation for a class of holomorphic maps, this result is generalized to hypersurfaces from the hyperplane case in [9]. More precisely, let

D_{1}, D_{2}, . . ., D_{q}

be hypersurfaces in general position, and let

f : C \to P^{n} (C)

be holomorphic map of lower order μ, such that

f (C) ⊄ D_{i}

for all

i = 1, 2, . . ., q

. If

0 < μ \leq 1 / 2

then

\sum_{i = 1}^{q} δ_{f} (D_{i}) \leq n .

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.