2014
DOI: 10.2140/pjm.2014.272.245
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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.

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Cited by 14 publications
(9 citation statements)
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“…Recently, the authors in [19] considered the case where the holomorphic mappings of a family are allowed to meet some fixed hyperplanes.…”
Section: Corollary 16 Let F Be a Family Of Holomorphic Mappings Of A Domain D Inmentioning
confidence: 99%
“…Recently, the authors in [19] considered the case where the holomorphic mappings of a family are allowed to meet some fixed hyperplanes.…”
Section: Corollary 16 Let F Be a Family Of Holomorphic Mappings Of A Domain D Inmentioning
confidence: 99%
“…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.…”
Section: Remark 22mentioning
confidence: 99%
“…Later, in [5], Yang et al considered the corresponding result in normal family theory of holomorphic curves and obtained. Theorem YFP.…”
Section: Introductionmentioning
confidence: 99%