A second main theorem of Nevanlinna theory for holomorphic mappings on annuli
To establish a second main theorem for holomorphic mappings on annuli intersecting hypersurfaces in strong λ-subgeneral position,the Nochka weight is employed.First,the sum of Weil functions of all hypersurfaces are controlled by the sum of partial hypersurfaces with Nochka weights.Then,the hypersurfaces are embedded into a high-dimensional projective space to be hyperplanes,and a linearly non-degenerate holomorphic mapping is constructed.Finally,a second main theorem is established for algebraically non-degenerate holomorphic mappings on the annuli intersecting hypersurfaces in strong λ-subgeneral position by the generalized form of Cartan's second main theorem.
Nevanlinna theorystrong λ-subgeneral positionsecond main theoremNochka weight
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