Nguyen Thi Nhung: Weighted second main theorems and algebraic dependences for holomorphic maps from disks, 319-336

Abstract:

In this paper, we first prove second main theorems with weighted counting functions for holomorphic maps from a complex disk $\Delta (R)\subset\mathbb{C}$ with finite growth index into $\mathbb{P}^n(\mathbb{C})$. Then we apply these theorems to solve the algebraic dependence problems of holomorphic maps sharing moving hyperplanes in general position.

Key Words: Nevanlinna theory, weighted second main theorem, holomorphic map, moving hyperplane, algebraic dependence.

2010 Mathematics Subject Classification: Primary 32H30, 32A22; Secondary 30D35.

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