Establishes avoidance criteria for normal holomorphic curves in CP^n omitting sufficiently many moving hypersurfaces in pointwise general position, plus normality conditions for families sharing hyperplanes.
Normal holomorphic curves from parabolic regions to projective spaces
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
A holomorphic map from the complex line to a complex projective space is called normal (a. k. a. Brody curve) if it is uniformly continuous from the Euclidean metric to the Fubini--Study metric. The paper contains a survey of known results about such maps, as well as some new theorems.
fields
math.CV 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Introduces strong normality and extends rescaling characterizations from Lohwater-Pommerenke and Zalcman-Pang to new classes of holomorphic and logharmonic mappings in complex analysis.
citing papers explorer
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Avoidance Criteria for Normal Holomorphic Curves on Complex Projective Space
Establishes avoidance criteria for normal holomorphic curves in CP^n omitting sufficiently many moving hypersurfaces in pointwise general position, plus normality conditions for families sharing hyperplanes.
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Extension of Lohwater-Pommerenke's Theorem for strongly-normal Maps
Introduces strong normality and extends rescaling characterizations from Lohwater-Pommerenke and Zalcman-Pang to new classes of holomorphic and logharmonic mappings in complex analysis.