A uniqueness theorem with moving targets without counting multiplicity

DOI10.1090/S0002-9939-01-06040-3zbMath0977.32013MaRDI QIDQ2716114

Min Ru

Publication date: 6 June 2001

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

zbMATH Keywords

uniqueness theoremmoving targets

Mathematics Subject Classification ID

Value distribution theory in higher dimensions (32H30)

Related Items (30)

Second main theorems for meromorphic mappings intersecting moving hyperplanes with truncated counting functions and unicity problem ⋮ A DEGENERACY THEOREM FOR MEROMORPHIC MAPPINGS WITH MOVING TARGETS ⋮ Uniqueness problem for meromorphic mappings with truncated multiplicities and few targets ⋮ Second main theorem for holomorphic maps from complex disks with moving hyperplanes ⋮ Unnamed Item ⋮ Big Picard's theorems for holomorphic mappings of several complex variables into \(\mathbb{P}^{N}(C)\) with moving hyperplanes ⋮ A uniqueness theorem for holomorphic curves on annulus sharing \(2n+3\) hyperplanes ⋮ Uniqueness theorems for meromorphic mappings in several complex variables into \(P^N(\mathbb C)\) with two families of moving targets ⋮ Second main theorem for meromorphic mappings intersecting moving targets on parabolic manifolds ⋮ SECOND MAIN THEOREMS AND ALGEBRAIC DEPENDENCE OF MEROMORPHIC MAPPINGS ON PARABOLIC MANIFOLDS WITH MOVING TARGETS ⋮ Algebraic dependences of three meromorphic mappings sharing few moving hyperplanes ⋮ Uniqueness theorem of meromorphic mappings with moving targets ⋮ Algebraic dependences of meromorphic mappings sharing moving hyperplanes without counting multiplicities ⋮ Second main theorem and uniqueness theorem with moving targets on parabolic manifolds ⋮ Second main theorems for meromorphic mappings and moving hyperplanes with truncated counting functions ⋮ Unnamed Item ⋮ Normal families of meromorphic mappings of several complex variables into \(\mathbb P^N(\mathbb C)\) for moving targets ⋮ UNIQUENESS PROBLEM WITH TRUNCATED MULTIPLICITIES OF MEROMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES FOR MOVING TARGETS ⋮ Propagation sets of holomorphic curves ⋮ Results on uniqueness problem for meromorphic mappings sharing moving hyperplanes in general position under more general and weak conditions ⋮ A uniqueness theorem for meromorphic mappings without counting multiplicities ⋮ Unicity of meromorphic mappings sharing few moving hyperplanes ⋮ Truncated second main theorem with moving targets ⋮ Uniqueness problem of meromorphic mappings sharing moving hyperplanes regardless of multiplicity ⋮ Two meromorphic mappings having the same inverse images of moving hyperplanes ⋮ Second main theorems with weighted counting functions and algebraic dependence of meromorphic mappings ⋮ Second main theorems with weighted counting functions and its applications ⋮ Uniqueness Problem for Meromorphic Mappings with Truncated Multiplicities and Moving Targets ⋮ Degeneracy second main theorem for meromorphic mappings and moving hypersurfaces with truncated counting functions and applications ⋮ Some uniqueness theorems for holomorphic curves on annulus sharing hypersurfaces

Cites Work

• The second main theorem for moving targets
• Uniqueness problem without multiplicities in value distribution theory
• On the propagation of dependences
• Remarks on holomorphic mappings
• The uniqueness problem of meromorphic maps into the complex projective space

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