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

Duc Thoan Pham; Ngoc Quynh Le; Thi Nhung Nguyen

doi:10.37863/umzh.v74i11.6333

Duc Thoan Pham Hanoi Univ. Civil Engineering, Vietnam
Ngoc Quynh Le An Giang Univ., Vietnam Nat. Univ., Ho Chi Minh City, Vietnam
Thi Nhung Nguyen Thang Long Univ., Hanoi, Vietnam

DOI: https://doi.org/10.37863/umzh.v74i11.6333

Keywords: Uniqueness theorem, meromorphic mapping, hypersurfaces, complete K\

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.

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