Uniqueness theorems for meromorphic mappings sharing hyperplanes in the general position. (Chinese. English summary) Zbl 1488.32018
Summary: 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 use of the method of dealing with multiple values and the technique of Dethloff-Quang-Tan respectively, we obtain two general uniqueness theorems which improve and extend some known results of meromorphic mappings sharing hyperplanes in the general position.
MSC:
32H30 | Value distribution theory in higher dimensions |
32A22 | Nevanlinna theory; growth estimates; other inequalities of several complex variables |
30D35 | Value distribution of meromorphic functions of one complex variable, Nevanlinna theory |
30D30 | Meromorphic functions of one complex variable (general theory) |