### 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.

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Back to Simple Search
# Advanced Search

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.

We study algebraic dependences of three meromorphic mappings which share few moving hyperplanes without counting multiplicity.

We prove some finiteness theorems for differential nondegenerate meromorphic mappings of ${\u2102}^{m}$ into ℙⁿ(ℂ) which share n+3 hyperplanes.

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.

We prove some normality criteria for families of meromorphic mappings of a domain $D\subset {\u2102}^{m}$ into ℂPⁿ under a condition on the inverse images of moving hypersurfaces.

In this paper we introduce the notion of weak normal and quasinormal families of holomorphic curves from a domain in $\u2102$ 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.

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 ${f}_{1}$, ${f}_{2}$, ${f}_{3}$ on an annulus $\mathbb{A}\left({R}_{0}\right)$ share four distinct values regardless of multiplicity and have the of positive counting function, then ${f}_{1}={f}_{2}$ or ${f}_{2}={f}_{3}$ or ${f}_{3}={f}_{1}$. This result deduces that there are at most two admissible meromorphic functions on an annulus sharing a value with multiplicity truncated to level $2$ and sharing other three...

**Page 1**