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arxiv: 0710.1281 · v1 · submitted 2007-10-05 · 🧮 math.CV

Normal holomorphic curves from parabolic regions to projective spaces

Alexandre Eremenko This is my paper
classification 🧮 math.CV
keywords complexholomorphicmetricnormalprojectivebrodycalledcontains
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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.

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  1. Avoidance Criteria for Normal Holomorphic Curves on Complex Projective Space

    math.CV 2026-05 unverdicted novelty 5.0

    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.