2019
Том 71
№ 6

Unicity theorems with truncated multiplicities of meromorphic mappings in several complex variables for few fixed targets

Abstract

The purpose of our paper is twofold. Our first aim is to prove a uniqueness theorem for meromorphic mappings of $C^n$ into $P^N(C)$ sharing $2N + 2$ hyperplanes in the general position with truncated multiplicities, where all common zeros with multiplicities more than a certain number do not need to be counted. Second, we consider the case of mappings sharing less than $2N + 2$ hyperplanes. These results are improvements of some recent results.

Citation Example: Pham Hoang Ha, Si Duc Quang Unicity theorems with truncated multiplicities of meromorphic mappings in several complex variables for few fixed targets // Ukr. Mat. Zh. - 2019. - 71, № 3. - pp. 412-432.