Second main theorem and unicity theorem for meromorphic mappings sharing moving hypersurfaces regardless of multiplicity

Abstract

The purpose of this paper is twofold. The first is to establish a new second main theorem for meromorphic mappings of C m into P n ( C ) intersecting moving hypersurfaces with truncated counting functions, where the mappings may be algebraically degenerate. The second is to prove a uniqueness theorem for these mappings which share few moving hypersurfaces without counting multiplicity.