A Picard type theorem for holomorphic curves∗


Let P be complex projective space of dimension m, π : Cm+1\{0} → P the standard projection and M ⊂ P a closed subset (with respect to the usual topology of a real manifold of dimension 2m). A hypersurface in P is the projection of the set of zeros of a non-constant homogeneous form in m+ 1 variables. Let n be a positive integer. Consider a set of hypersurfaces {Hj} j=1 with the property M ∩ ⋂ j∈I Hj  = ∅ for every I ⊂ {1, . . . , 2n+ 1}, |I| = n+ 1. (1)

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@inproceedings{Eremenko1999APT, title={A Picard type theorem for holomorphic curves∗}, author={Alexandre Eremenko}, year={1999} }