SECOND MAIN THEOREM FOR HOLOMORPHIC MAPPINGS FROM THE DISCS INTO THE PROJECTIVE SPACES

Tóm tắt

In this paper, we establish a second main theorem for holomorphic mappings from a disc ∆(R) into Pn(C) and families of hyperplanes in subgeneral position. Our result is an extension the classical second main theorem of Cartan-Nochka and the second main theorem of Fujimoto.

Tài liệu tham khảo

[1] H. Fujimoto, 1974. On families of meromorphic maps into the complex projective space. Nagoya Math. J. 54, pp. 21-51.
[2] W. K. Hayman, 1964. Meromorphic Functions, Clarendon Press, Oxford.
[3] J. Noguchi and T. Ochiai, 1990. Introduction to Geometric Function Theory in Several Complex Variables. Trans. Math. Monogr. 80, Amer. Math. Soc., Providence, Rhode Island.
[4] J. Noguchi and J. Winkelman, 2014. Nevanlinna Theory in Several Complex Variables and Diophantine Approximation. Springer.