Bulletin of the
Korean Mathematical Society BKMS

In this paper, we obtain a second main theorem for holomorphic curves and moving hyperplanes of $\mathbf{P}^{n}(\mathbf{C})$ where the counting functions are truncated multiplicity and have different weights. As its application, we prove a uniqueness theorem for holomorphic curves of finite growth index sharing moving hyperplanes with different multiple values.

Keywords: second main theorem, holomorphic curve, uniqueness theorem, moving hyperplane

MSC numbers: 32H30, 30D35