• Corpus ID: 62823200

Algebraic dependences and uniqueness problem of meromorphic mappings sharing moving hyperplanes without counting multiplicities

@article{Quynh2016AlgebraicDA,
  title={Algebraic dependences and uniqueness problem of meromorphic mappings sharing moving hyperplanes without counting multiplicities},
  author={Le Thi Ngoc Quynh},
  journal={arXiv: Complex Variables},
  year={2016}
}
This article deals with the multiple values and algebraic dependences problem of meromorphic mappings sharing moving hyperplanes in projective space. We give some algebraic dependences theorems for meromorphic mappings sharing moving hyperplanes without counting multiplicity, where all zeros with multiplicities more than a certain number are omitted. Basing on these results, some unicity theorems regardless of multiplicity for meromorphic mappings in several complex variables are given. These… 
2 Citations
Second main theorems with weighted counting functions and its applications
The purpose of this article has two fold. The first is to generalize some recent second main theorems for the mappings and moving hyperplanes of $¶^n(\C)$ to the case where the counting functions are
Second main theorems with weighted counting functions and its applications
The purpose of this article has two fold. The first is to generalize some recent second main theorems for the mappings and moving hyperplanes of ℙn(ℂ) to the case where the counting functions are

References

SHOWING 1-10 OF 11 REFERENCES
Multiple values and finiteness problem of meromorphic mappings sharing different families of moving hyperplanes
In this article, we show some uniqueness theorems for meromorphic mappings of $\C^n$ into the complex projective space $\pnc$ sharing different families of moving hyperplanes regardless of
Uniqueness theorems for meromorphic mappings sharing hyperplanes in general position
The purpose of this article is to study the uniqueness problem for meromorphic mappings from $\mathbb{C}^{n}$ into the complex projective space $\mathbb{P}^{N}(\mathbb{C}).$ By making using of the
Algebraic dependences of meromorphic mappings sharing few moving hyperplanes
Algebraic dependence and unicity theorem with a truncation level to 1 of meromorphic mappings sharing moving targets
The purpose of this article is twofold. The rst is to show algebraic dependences of meromorphic mappings in several complex variables into the complex projective spaces with a truncation level to 1.
Second main theorems for meromorphic mappings intersecting moving hyperplanes with truncated counting functions and unicity problem
In this article, we establish some new second main theorems for meromorphic mappings of $${\mathbf {C}}^m$$Cm into $${\mathbf {P}}^n({\mathbf {C}})$$Pn(C) and moving hyperplanes with truncated
Algebraic dependences of meromorphic mappings in several complex variables
We give some theorems on algebraic dependence of meromorphic mappings in several complex variables into complex projective spaces.
Uniqueness problem with truncated multiplicities of meromorphic mappings for moving targets
Abstract In this article, two uniqueness theorems of meromorphic mappings on moving targets with truncated multiplicities are proved.
Second main theorem with truncated counting function in several complex variables for moving targets
Abstract In this article, we show a truncated Second Main Theorem of meromorphic mappings from ℂ n into ℙ N (ℂ) for moving targets. The moving targets are only assumed to be nondegenerate. 2000
A uniqueness theorem with moving targets without counting multiplicity
In this paper, we prove a uniqueness theorem for holomorphic curves with moving targets without counting multiplicity.
...
1
2
...