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Degeneracy theorems
for two holomorphic curves in $ \mathbb{P}^n(\mathbb{C})$
sharing few hypersurfaces
Kai Zhou and Lu Jin |
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Vol. 302 (2019), No. 1, 371–383
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Abstract |
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In value distribution theory, many uniqueness and degeneracy theorems for holomorphic curves in sharing hyperplanes or sharing sufficiently many hypersurfaces have been obtained in the last few decades. But there is no result concerning holomorphic curves in sharing few hypersurfaces. We prove several degeneracy theorems for two algebraically nondegenerate holomorphic curves in sharing hypersurfaces in general position. |
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Keywords
degeneracy theorem, hypersurface, holomorphic curve,
Nevanlinna theory
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Mathematical Subject Classification 2010
Primary: 32H30
Secondary: 30D35
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Milestones
Received: 20 January 2019
Accepted: 13 March 2019
Published: 5 November 2019
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Authors |
| Kai Zhou | |
| School of Mathematical
Sciences Fudan University Shanghai China |
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| Lu Jin | |
| School of Mathematical
Sciences Fudan University Shanghai China |
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