On the problems of uniqueness of meromorphic mappings from complete Kähler manifolds into projective varieties

Abstract

UDC 517.53 We prove the unicity theorems for meromorphic mappings of a complete Kähler manifold into projective varieties† sharing few hypersurfaces in subgeneral position without counting multiplicities, where all zeros with multiplicities greater than a certain number are omitted. We also present the uniqueness theorem in which the assumption of nondegeneracy of the mappings is no longer required. These results are extensions and generalizations of some recent results.