Results on Uniqueness Problem for Meromorphic Mappings Sharing Moving Hyperplanes in General Position Under More General and Weak Conditions

2020 ◽  
Vol 41 (5) ◽  
pp. 773-792
Author(s):  
Zhixue Liu ◽  
Qingcai Zhang
Keyword(s):  
General Position ◽  
Uniqueness Problem ◽  
Meromorphic Mappings

Uniqueness problem of meromorphic mappings of a complete Kähler manifold into a projective space

2020 ◽  
Vol 70 (4) ◽  
pp. 863-876
Author(s):  
Ha Huong Giang
Keyword(s):  
Projective Space ◽  
General Condition ◽  
General Position ◽  
Kähler Manifold ◽  
Uniqueness Problem ◽  
Uniqueness Theorems ◽  
Meromorphic Mappings ◽  
Kahler Manifold ◽  
Complete Kähler Manifold

AbstractIn this article, we prove a new generalization of uniqueness theorems for meromorphic mappings of a complete Kähler manifold M into ℙn(ℂ) sharing hyperplanes in general position with a general condition on the intersections of the inverse images of these hyperplanes.

scholarly journals Remarks to the uniqueness problem of meromorphic maps into PN(C), IV

1975 ◽  
Vol 83 ◽  
pp. 153-181 ◽  
Author(s):  
Hirotaka Fujimoto
Keyword(s):  
General Position ◽  
Uniqueness Problem ◽  
Meromorphic Maps

Let H1, H2, …, HN+2 be hyperplanes in PN(C) located in general position and v1v2, … νN+2 divisors on Cn. We consider the set ℱ(Hi, νi) of all non-degenerate meromorphic maps of Cn into PN(C) such that the pull-backs ν(f, Hi) of the divisors (Hi) on PN(C) by f are equal to νi for any i = 1, 2, …, N + 2. In the previous paper [6], the author showed that =:= ℱ(Hi, νi) cannot contain more than N+ 1 algebraically independent maps. Relating to this, the following theorem will be proved.

On uniqueness of meromorphic mappings from complete Kähler manifold into ℙn(ℂ)

2020 ◽  
pp. 2150061
Author(s):  
Ha Huong Giang ◽  
Nguyen Thi Nhung
Keyword(s):  
Uniqueness Theorem ◽  
General Condition ◽  
General Position ◽  
Kähler Manifold ◽  
Meromorphic Mappings ◽  
Kahler Manifold ◽  
Complete Kähler Manifold

In this paper, we prove a uniqueness theorem for meromorphic mappings of a complete Kähler manifold [Formula: see text] into [Formula: see text] sharing hyperplanes in general position under a general condition that the codimension of the intersection of inverse images of any [Formula: see text] hyperplanes is at least two.

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