Algebraic degeneracy theorem for holomorphic mappings into smooth projective algebraic varieties

@article{Aihara1981AlgebraicDT,
  title={Algebraic degeneracy theorem for holomorphic mappings into smooth projective algebraic varieties},
  author={Yoshihiro Aihara and S. Mori},
  journal={Nagoya Mathematical Journal},
  year={1981},
  volume={84},
  pages={209-218}
}
The famous Picard theorem states that a holomorphic mapping f : C → P 1 ( C ) omitting distinct three points must be constant. Borel [1] showed that a non-degenerate holomorphic curve can miss at most n + 1 hyperplanes in P n ( C ) in general position, thus extending Picard’s theorem ( n = 1). Recently, Fujimoto [3], Green [4] and [5] obtained many Picard type theorems using Borel’s methods for holomorphic mappings. 
2 Citations

References

SHOWING 1-7 OF 7 REFERENCES
A Defect Relation for Equidimensional Holomorphic Mappings Between Algebraic Varieties
0. Introduction 1. Notations, terminology, and sign conventions (a) Line bundles and Chern classes (b) Currents and forms in C0 2. Construction of a volume form 3. A second main theorem forExpand