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Using a modified version of a technique of R. Brody, a simple proof is found that the complement of 2n + 1 hyperplanes in general position in P, is complete hyperbolic and hyperbolically embedded in Pn. In fact, a more general result is obtained showing that a suitable Picard theorem is sufficient to imply hyperbolicity in a large class of algebro-geometric situations.

The hyperbolicity of the complement of 2𝑛+1 hyperplanes in general position in 𝑃_{𝑛} and related results