Two meromorphic mappings having the same inverse images of moving hyperplanes
https://doi.org/10.1080/17476933.2016.1177028Publisher, magazine: ,
Publication year: 2016
Lưu Trích dẫn Chia sẻAbstract
In this paper, we will show that if two meromorphic mappings f and g of into have the same inverse images for moving hyperplanes with multiplicities counted to level then the map must be algebraically degenerated over the field , where with . Our result generalizes the previous result for fixed hyperplanes case of Fujimoto and also improves his result by giving an explicit estimate for the number .
Tags: Nevanlinna theory, algebraic degeneracy, moving hyperplane, truncated multiplicity
Các bài viết liên quan đến tác giả Sĩ Đức Quang
On the relation between curvature, diameter and volume of a complete Riemannian manifold
Second main theorem with truncated counting function in several complex variables for moving targets
Two meromorphic mappings sharing 2n+2 hyperplanes regardless of multiplicity
Some extensions of the four values theorem of Nevanlinna-Gundersen