Second main theorems for meromorphic mappings and moving hyperplanes with truncated counting functions

DOI10.1090/proc/14377zbMath1495.32045arXiv1806.01647OpenAlexW3087915306MaRDI QIDQ4621375

Si Duc Quang

Publication date: 12 February 2019

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

Full work available at URL: https://arxiv.org/abs/1806.01647

zbMATH Keywords

meromorphic mappingssecond main theoremmoving hyperplane

Mathematics Subject Classification ID

Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30)

Related Items (12)

Two meromorphic mappings having the same inverse images of some moving hyperplanes with truncated multiplicity ⋮ Second main theorem for holomorphic maps from complex disks with moving hyperplanes ⋮ Unnamed Item ⋮ Uniqueness theorems of meromorphic functions and their differences in several complex variables ⋮ 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 ⋮ Erratum to “Second main theorems for meromorphic mappings and moving hyperplanes with truncated counting functions” ⋮ Algebraic dependences of three meromorphic mappings sharing few moving hyperplanes ⋮ Uniqueness problem of meromorphic mappings sharing moving hyperplanes regardless of multiplicity ⋮ Second main theorems with weighted counting functions and its applications ⋮ Algebraic relation of two meromorphic mappings on a Kähler manifold having the same inverse images of hyperplanes ⋮ Degeneracy second main theorem for meromorphic mappings and moving hypersurfaces with truncated counting functions and applications

Cites Work

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• Second main theorems for meromorphic mappings intersecting moving hyperplanes with truncated counting functions and unicity problem
• The second main theorem for moving targets
• Another proof of the defect relation for moving targets
• The second main theorem for small functions and related problems
• Unicity of meromorphic mappings sharing few moving hyperplanes
• A uniqueness theorem with moving targets without counting multiplicity
• Second main theorems with weighted counting functions and algebraic dependence of meromorphic mappings
• On defect relations of moving hyperplanes
• Truncated second main theorem with moving targets
• Second main theorem with truncated counting function in several complex variables for moving targets
• UNIQUENESS PROBLEM WITH TRUNCATED MULTIPLICITIES OF MEROMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES FOR MOVING TARGETS

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