AN EXTENSION OF THE CARTAN–NOCHKA SECOND MAIN THEOREM FOR HYPERSURFACES

DOI10.1142/S0129167X11007070zbMath1220.32004arXiv0911.2562OpenAlexW1972212989MaRDI QIDQ3021616

Do Duc Thai, Gerd-Eberhard Dethloff, Tran Van Tan

Publication date: 26 July 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2562

zbMATH Keywords

Nevanlinna theorySecond Main Theorem

Mathematics Subject Classification ID

Meromorphic mappings in several complex variables (32H04) Hypersurfaces and algebraic geometry (14J70) Value distribution theory in higher dimensions (32H30) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items (4)

The second Main theorem for meromorphic mappings into a complex projective space ⋮ A non-integrated defect relation for meromorphic maps of complete Kähler manifolds into a projective variety intersecting hypersurfaces ⋮ Uniqueness theorems for holomorphic curves with hypersurfaces of Fermat-Waring type ⋮ A second main theorem for holomorphic maps into the projective space with hypersurfaces

Cites Work

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• On the Nochka-Chen-Ru-Wong proof of Cartan's conjecture
• A generalization of Nochka weight function
• Integral points of \(\mathbb{P}^ n-\{2n+1\) hyperplanes in general position\(\}\)
• Holomorphic curves and integral points off divisors
• Holomorphic curves into algebraic varieties
• A defect relation for equidimensional holomorphic mappings between algebraic varieties
• On Cartan's theorem and Cartan's conjecture
• On a General Form of the Second Main Theorem
• A defect relation for holomorphic curves intersecting hypersurfaces
• On a general Thue's equation

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