Extensions of the big Picard's theorem

@article{Fujimoto1972ExtensionsOT,
  title={Extensions of the big Picard's theorem},
  author={Hirotaka Fujimoto},
  journal={Tohoku Mathematical Journal},
  year={1972},
  volume={24},
  pages={415-422}
}
  • H. Fujimoto
  • Published 1972
  • Mathematics
  • Tohoku Mathematical Journal
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References

SHOWING 1-7 OF 7 REFERENCES
About the universal covering of the complement of a complete quadrilateral
In 1960, Professor Chern asked me if the universal covering of the complement of a complete quadrilateral Q in the two-dimensional complex projective space P2 were biholomorphic equivalent to aExpand
Hyperbolic submanifolds of complex projective space
In [1] Professor Kobayashi constructed an invariant pseudodistance dM on each complex manifold M. If the pseudo-distance dM is a true distance, the complex manifold is said to be hyperbolic. It isExpand
Théorie nouvelle des familles complexes normales. Applications à l'étude des fonctions algébroïdes
© Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1944, tous droits réservés. L’accès aux archives de la revue « Annales scientifiques de l’É.N.S. » (http://www.Expand