Montel-type theorems in several complex variables with continuously moving targets

Abstract

The authors introduce a new idea related to Montel-type theorems in higher dimension and prove some Montel-type criteria for normal families of holomorphic mappings and normal holomorphic mappings of several complex variables into P ^N(ℂ) for continuously moving hyperplanes in pointwise general position. The main results are also true for continuously moving hypersurfaces in pointwise general position. Examples are given to show the sharpness of the results.

Keywords

Holomorphic mappings / Normal families / Picard-type theorems / Value distribution theory

References

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