Finiteness of meromorphic mappings from Kähler manifold into projective space

2020/03/07 by Thoan Pham Duc, Duc, Thoan Pham, Tuyen Nguyen Dang +3
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #math.CV

paper · pdf · doi:10.48550/arxiv.2003.03513

arxiv created 2020/03/07 · arxiv updated 2020/03/10

Abstract

The purpose of this paper is to prove the finiteness theorems for meromorphic mappings of a complete connected Kähler manifold into projective space sharing few hyperplanes in subgeneral position without counting multiplicity, where all zeros with multiplicities more than a certain number are omitted. Our results are extensions and generalizations of some recent ones.

Related

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• Meromorphic maps of Kahler manifolds with trivial canonical bundles
• Second main theorem and unicity of meromorphic mappings for\n hypersurfaces of projective varieties in subgeneral position