Two meromorphic mappings having the same inverse images of moving hyperplanes

Authors: Sĩ Đức Quang, Lê Ngọc Quỳnh,

https://doi.org/10.1080/17476933.2016.1177028

Publisher, magazine: ,

Publication year: 2016

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Abstract

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