On fundamental theorems for holomorphic curves on the annuli

DOI10.1007/S11253-015-1138-5zbMath1377.32011OpenAlexW2190446697MaRDI QIDQ1676280

Nguyen Van Thin, Ha Tran Phuong

Publication date: 6 November 2017

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/165687

zbMATH Keywords

value distributioncurves in \(\mathbb P^2(\mathbb C)\)

Mathematics Subject Classification ID

Value distribution theory in higher dimensions (32H30)

Related Items (4)

On fundamental theorems for holomorphic curves on an annulus intersecting hypersurfaces ⋮ Two meromorphic functions on annuli sharing some pairs of small functions or values ⋮ A uniqueness theorem for holomorphic curves on annulus sharing \(2n+3\) hyperplanes ⋮ Some uniqueness theorems for holomorphic curves on annulus sharing hypersurfaces

Cites Work

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• On the uniqueness of meromorphic functions that share three or two finite sets on annuli
• On the Nevanlinna theory for meromorphic functions on annuli. I.
• On the Nevanlinna theory for meromorphic functions on annuli. II.
• An explicit estimate on multiplicity truncation in the second main theorem for holomorphic curves encountering hypersurfaces in general position in projective space
• On a General Form of the Second Main Theorem
• Truncated second main theorem with moving targets
• A defect relation for holomorphic curves intersecting hypersurfaces

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