On the uniqueness problem for meromorphic mappings with truncated multiplicities
Tom 112 / 2014
Annales Polonici Mathematici 112 (2014), 165-179
MSC: Primary 32H30.
DOI: 10.4064/ap112-2-4
Streszczenie
The purpose of this paper is twofold. The first is to weaken or omit the condition $\dim f^{-1}(H_i\cap H_j)\leq m-2$ for $i\not =j$ in some previous uniqueness theorems for meromorphic mappings. The second is to decrease the number $q$ of hyperplanes $H_j$ such that $f(z)=g(z)$ on $ \bigcup _{j=1}^{q}f^{-1}(H_j)$, where $f,g$ are meromorphic mappings.