Uniqueness problem for meromorphic mappings in several complex variables with few hyperplanes

2015 ◽  
Vol 31 (8) ◽  
pp. 1327-1338 ◽  
Author(s):  
Hong Zhe Cao ◽  
Ting Bin Cao
Keyword(s):  
Complex Variables ◽  
Several Complex Variables ◽  
Uniqueness Problem ◽  
Meromorphic Mappings

UNIQUENESS PROBLEM WITH TRUNCATED MULTIPLICITIES OF MEROMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES

2006 ◽  
Vol 17 (10) ◽  
pp. 1223-1257 ◽  
Author(s):  
DO DUC THAI ◽  
SI DUC QUANG
Keyword(s):  
Complex Variables ◽  
Several Complex Variables ◽  
Uniqueness Problem ◽  
Meromorphic Mappings

In this article, the uniqueness problem with truncated multiplicities of meromorphic mappings in several complex variables is studied. The recent results of Smiley, Ji, Fujimoto and Fujimoto's questions are deduced as consequences.

UNIQUENESS PROBLEM WITH TRUNCATED MULTIPLICITIES OF MEROMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES FOR MOVING TARGETS

2005 ◽  
Vol 16 (08) ◽  
pp. 903-939 ◽  
Author(s):  
DO DUC THAI ◽  
SI DUC QUANG
Keyword(s):  
Complex Variables ◽  
Several Complex Variables ◽  
Uniqueness Problem ◽  
Moving Targets ◽  
Meromorphic Mappings

In this article, truncated second main theorems with moving targets are given. Basing on these theorems, the uniqueness problem with truncated multiplicities of meromorphic mappings in several complex variables for moving targets is solved.

q-Differences theorems for meromorphic maps of several complex variables intersecting hypersurfaces

2020 ◽  
pp. 2150040
Author(s):  
Pham Duc Thoan ◽  
Nguyen Hai Nam ◽  
Noulorvang Vangty
Keyword(s):  
Growth Condition ◽  
Meromorphic Functions ◽  
Complex Variables ◽  
Zero Order ◽  
Several Complex Variables ◽  
Meromorphic Mappings ◽  
Meromorphic Maps

In this paper, we show some [Formula: see text]-difference analogues of the second main theorems for algebraically nondegenerate meromorphic mappings over the field [Formula: see text] of zero-order meromorphic functions in [Formula: see text] satisfying [Formula: see text] intersecting hypersurfaces, located in subgeneral position in [Formula: see text], where [Formula: see text] and [Formula: see text] may be different. As an application, we give some unicity theorems for meromorphic mappings of [Formula: see text] into [Formula: see text] under the growth condition “order [Formula: see text]”, which are analogous to Picard’s theorems.

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