Unicity of meromorphic mappings sharing few hyperplanes
We prove some theorems on uniqueness of meromorphic mappings into complex projective space ℙⁿ(ℂ), which share 2n+3 or 2n+2 hyperplanes with truncated multiplicities.
Algebraic dependences of meromorphic mappings sharing few moving hyperplanes
We study algebraic dependences of three meromorphic mappings which share few moving hyperplanes without counting multiplicity.
Finiteness problem for meromorphic mappings sharing n+3 hyperplanes of ℙⁿ(ℂ)
We prove some finiteness theorems for differential nondegenerate meromorphic mappings of into ℙⁿ(ℂ) which share n+3 hyperplanes.
Extension and normality of meromorphic mappings into complex projective varieties
The purpose of this article is twofold. The first is to show a criterion for the normality of holomorphic mappings into Abelian varieties; an extension theorem for such mappings is also given. The second is to study the convergence of meromorphic mappings into complex projective varieties. We introduce the concept of d-convergence and give a criterion of d-normality of families of meromorphic mappings.
Normal families of meromorphic mappings of several complex variables into ℂPⁿ for moving hypersurfaces
We prove some normality criteria for families of meromorphic mappings of a domain into ℂPⁿ under a condition on the inverse images of moving hypersurfaces.
Weak normal and quasinormal families of holomorphic curves
In this paper we introduce the notion of weak normal and quasinormal families of holomorphic curves from a domain in into projective spaces. We will prove some criteria for the weak normality and quasinormality of at most a certain order for such families of holomorphic curves.
Finiteness of meromorphic functions on an annulus sharing four values regardless of multiplicity
This paper deals with the finiteness problem of meromorphic funtions on an annulus sharing four values regardless of multiplicity. We prove that if three admissible meromorphic functions , , on an annulus share four distinct values regardless of multiplicity and have the of positive counting function, then or or . This result deduces that there are at most two admissible meromorphic functions on an annulus sharing a value with multiplicity truncated to level and sharing other three...
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