The second main theorem of holomorphic curves into projective spaces

DOI10.1090/S0002-9947-2011-05394-8zbMath1233.32003OpenAlexW1986836094MaRDI QIDQ3103852

Pei-Chu Hu, Chung-Chun Yang

Publication date: 12 December 2011

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-2011-05394-8

zbMATH Keywords

Lang's conjectureholomorphic curvevalue distribution theoryJacobian section

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items (1)

Value distribution theory and Diophantine approximation

Cites Work

• Nonequidimensional value distribution theory and meromorphic connections
• Diophantine approximations and value distribution theory
• Defect relations for holomorphic maps between spaces of different dimensions
• Hyperbolic surfaces in \({\mathbb{P}}^ 3\)
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• On Nevanlinna's second main theorem in projective space
• The truncated second main theorem of function fields
• Extensions of the big Picard's theorem
• A defect relation for equidimensional holomorphic mappings between algebraic varieties
• Families of holomorphic maps into the projective space omitting some hyperplanes
• Nevanlinna theory and holomorphic mappings between algebraic varieties
• Holomorphic mapping into algebraic varieties of general type
• A Hypersurface Defect Relation for a Class of Meromorphic Maps
• Holomorphic curves in algebraic manifolds
• Some Picard Theorems for Holomorphic Maps to Algebraic Varieties
• Defects for ample divisors of abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees
• On the abc conjecture and diophantine approximation by rational points
• Holomorphic mappings: Survey of some results and discussion of open problems
• Holomorphic Maps into Complex Projective Space Omitting Hyperplanes
• Théorie nouvelle des familles complexes normales. Applications à l'étude des fonctions algébroïdes
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