Normal families of holomorphic mappings into complex projective space concerning shared hyperplanes

Abstract

We prove new criteria for normality for holomorphic mappings into the complex projective space using the generalized Zalcman lemma. This improves previous results in one complex variable. An example is included to complement our theory.

Holomorphic mappings into the complex projective space with moving hypersurfaces

“…Recently, the authors in [19] considered the case where the holomorphic mappings of a family are allowed to meet some fixed hyperplanes.…”

Uniqueness polynomials for holomorphic curves into the complex projective space

“…Remark 2.3. Every holomorphic curve f : C → P N (C) has a reduced representation on the totality of C. See [16]. Definition 2.4.…”

Shared Hyperplanes and Normal Families of Holomorphic Curves

“…Later, in [5], Yang et al considered the corresponding result in normal family theory of holomorphic curves and obtained. Theorem YFP.…”