Second Main Theorems and Unicity of Meromorphic Mappings with Moving Hypersurfaces

Abstract

In this article, we establish some new second main theorems for meromorphic mappings of $\mathbf{C}^m$ into $\mathbf{P}^n(\mathbf{C})$ and moving hypersurfaces with truncated counting functions. As an application, we prove a uniqueness theorem for these mappings sharing few moving hypersurfaces without counting multiplicity. This result is an improvement of the results of Dulock - Min Ru [2] and Dethloff - Tan [4]. Moreover the meromorphic mappings maybe algebraically degenerate.