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1
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Extension and normality of meromorphic mappings into complex projective varieties

100%
Quang S.
Annales Polonici Mathematici
|
2012
|
tom 104
|
nr 3
279-292
EN
The purpose of this article is twofold. The first is to show a criterion for the normality of holomorphic mappings into Abelian varieties; an extension theorem for such mappings is also given. The second is to study the convergence of meromorphic mappings into complex projective varieties. We introduce the concept of d-convergence and give a criterion of d-normality of families of meromorphic mappings.
2
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Unicity of meromorphic mappings sharing few hyperplanes

100%
Quang S.
Annales Polonici Mathematici
|
2011
|
tom 102
|
nr 3
255-270
EN
We prove some theorems on uniqueness of meromorphic mappings into complex projective space ℙⁿ(ℂ), which share 2n+3 or 2n+2 hyperplanes with truncated multiplicities.
3
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Finiteness problem for meromorphic mappings sharing n+3 hyperplanes of ℙⁿ(ℂ)

100%
Quang S.
Annales Polonici Mathematici
|
2014
|
tom 112
|
nr 2
195-215
EN
We prove some finiteness theorems for differential nondegenerate meromorphic mappings of $ℂ^{m}$ into ℙⁿ(ℂ) which share n+3 hyperplanes.
4
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Algebraic dependences of meromorphic mappings sharing few moving hyperplanes

100%
Quang S.
Annales Polonici Mathematici
|
2013
|
tom 108
|
nr 1
61-73
EN
We study algebraic dependences of three meromorphic mappings which share few moving hyperplanes without counting multiplicity.
5
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Normal families of meromorphic mappings of several complex variables into ℂPⁿ for moving hypersurfaces

64%
Quang S., Tan T.
Annales Polonici Mathematici
|
2008
|
tom 94
|
nr 2
97-110
EN
We prove some normality criteria for families of meromorphic mappings of a domain $D ⊂ ℂ^m$ into ℂPⁿ under a condition on the inverse images of moving hypersurfaces.
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