scholarly journals Degeneracy and Finiteness Theorems for Meromorphic Mappings in Several Complex Variables

2019 ◽  
Vol 40 (2) ◽  
pp. 251-272 ◽  
Author(s):  
Si Duc Quang
Keyword(s):  
Complex Variables ◽  
Several Complex Variables ◽  
Meromorphic Mappings ◽  
Finiteness Theorems

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.

scholarly journals Normal Families of meromorphic mappings of several complex variables into PN(C)

2005 ◽  
Vol 180 ◽  
pp. 91-110 ◽  
Author(s):  
Pham Ngoc Mai ◽  
Do Duc Thai ◽  
Pham Nguyen Thu Trang
Keyword(s):  
Complex Space ◽  
Sufficient Conditions ◽  
Complex Variables ◽  
Holomorphic Mappings ◽  
Several Complex Variables ◽  
Normal Families ◽  
Meromorphic Mappings ◽  
Compact Complex Space

AbstractThe first aim in this article is to give some sufficient conditions for a family of meromorphic mappings of a domain D in Cn into PN(C) omitting hypersurfaces to be meromorphically normal. Our result is a generalization of the results of Fujimoto and Tu. The second aim is to investigate extending holomorphic mappings into the compact complex space from the viewpoint of the theory of meromorphically normal families of meromorphic mappings.

Algebraic dependences of meromorphic mappings sharing moving hyperplanes without counting multiplicities

2017 ◽  
Vol 10 (03) ◽  
pp. 1750040 ◽  
Author(s):  
Le Ngoc Quynh
Keyword(s):  
Projective Space ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Meromorphic Mappings ◽  
Counting Multiplicity

This paper deals with the multiple values and algebraic dependences problem of meromorphic mappings sharing moving hyperplanes in projective space. We give some algebraic dependences theorems for meromorphic mappings sharing moving hyperplanes without counting multiplicity, where all zeros with multiplicities more than a certain number are omitted. Basing on these results, some unicity theorems regardless of multiplicity for meromorphic mappings in several complex variables are given. These results are extensions and strong improvements of some recent results.

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