Non-integrated defect relation for meromorphic maps of complete Kähler manifolds into $\mathbb{P}^{n}(\mathbb{C})$ intersecting hypersurfaces

DOI10.1090/S0002-9947-2011-05512-1zbMath1236.32010MaRDI QIDQ2880676

Suraizou Sogome, Min Ru

Publication date: 13 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Nevanlinna theorymeromorphic mappingsdefect relationGauss map of minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Value distribution theory in higher dimensions (32H30)

Related Items (16)

Non-integrated defect of meromorphic maps on Kähler manifolds ⋮ Non-integrated defect relation and uniqueness theorem for meromorphic mappings on Kähler manifolds ⋮ Generalizations of degeneracy second main theorem and Schmidt's subspace theorem ⋮ Non-integrated defect relation for meromorphic maps from a Kähler manifold intersecting hypersurfaces in subgeneral of \(\mathbb{P}^n(\mathbb{C})\) ⋮ Algebraic dependences of meromorphic mappings from complete Kähler manifolds into projective spaces sharing few hyperplanes ⋮ Algebraic dependence for three meromorphic mappings from complete Kähler manifolds into projective spaces ⋮ On the problems of uniqueness of meromorphic mappings from complete Kähler manifolds into projective varieties ⋮ Non-integrated defect relation for meromorphic mappings on Kähler manifolds intersecting non-subdegenerate families of hyperplanes ⋮ Non-integrated defect relation for meromorphic maps from Kähler manifolds with hypersurfaces of a projective variety in subgeneral position ⋮ Meromorphic mappings of a complete connected Kähler manifold into a projective space sharing hyperplanes ⋮ Algebraic relation of two meromorphic mappings on a Kähler manifold having the same inverse images of hyperplanes ⋮ Uniqueness problem of meromorphic mappings of a complete Kähler manifold into a projective space ⋮ On uniqueness of meromorphic mappings from complete Kähler manifold into ℙn(ℂ) ⋮ On degeneracy of three meromorphic mappings from complete Kähler manifolds into projective spaces ⋮ Finiteness of meromorphic mappings from a complete Kähler manifold into a projective space ⋮ A unicity theorem for meromorphic maps of a complete Kähler manifold into ℙⁿ(ℂ) sharing hypersurfaces

Cites Work

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• Value distribution of the Gauss maps of complete minimal surfaces in \(R_ m\)
• Subharmonic functions on real and complex manifolds
• On the Gauss map of a complete minimal surface in \(R^ m\).
• The lemma of the logarithmic derivative in several complex variables
• Holomorphic curves into algebraic varieties
• A defect relation for meromorphic maps on parabolic manifolds intersecting hypersurfaces
• An explicit estimate on multiplicity truncation in the second main theorem for holomorphic curves encountering hypersurfaces in general position in projective space
• A defect relation for holomorphic curves intersecting hypersurfaces

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