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1
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Tautness of locally taut domains in complex spaces

100%
Thai D., Trang P.
Annales Polonici Mathematici
|
2004
|
tom 83
|
nr 2
141-148
EN
A necessary and sufficient condition for tautness of locally taut domains in a weakly Brody hyperbolic complex space is given. Moreover, some results of Kobayashi and Gaussier are deduced as corollaries.
2
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Uniqueness problem for meromorphic mappings with Fermat moving hypersurfaces

100%
Tan T., Thai D.
Annales Polonici Mathematici
|
2011
|
tom 102
|
nr 1
1-13
EN
We give unicity theorems for meromorphic mappings of $ℂ^m$ into ℂPⁿ with Fermat moving hypersurfaces.
3
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Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties

100%
Thai D., Kien N.
Acta Arithmetica
|
2015
|
tom 170
|
nr 3
231-242
EN
The purpose of this article is twofold. The first is to find the dimension of the set of integral points off divisors in subgeneral position in a projective algebraic variety $V ⊂ ℙ^{m}_{k̅}$, where k is a number field. As consequences, the results of Ru-Wong (1991), Ru (1993), Noguchi-Winkelmann (2003) and Levin (2008) are recovered. The second is to show the complete hyperbolicity of the complement of divisors in subgeneral position in a projective algebraic variety $V ⊂ ℙ^{m}_{ℂ}.$
4
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On the disc-convexity of complex Banach manifolds

100%
Thai D., Huong N.
Annales Polonici Mathematici
|
1998
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tom 69
|
nr 1
1-11
EN
The Banach hyperbolicity and disc-convexity of complex Banach manifolds and their relations are investigated.
5
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Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group

100%
Thai D., Hoang D.
Annales Polonici Mathematici
|
1999
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tom 71
|
nr 2
105
EN
We show that the restriction operator of the space of holomorphic functions on a complex Lie group to an analytic subset V has a continuous linear right inverse if it is surjective and if V is a finite branched cover over a connected closed subgroup Γ of G. Moreover, we show that if Γ and G are complex Lie groups and V ⊂ Γ × G is an analytic set such that the canonical projection $π_1 : V → Γ$ is finite and proper, then $R_V : O(Γ × G) → Im R_V ⊂ O(V)$ has a right inverse
6
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Noguchi-type convergence-extension theorems for (n,d)-sets

81%
Thai D., Mai N., Son N.
Annales Polonici Mathematici
|
2003
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tom 82
|
nr 3
189-201
EN
We introduce the notion of (n,d)-sets and show several Noguchi-type convergence-extension theorems for (n,d)-sets.
7
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The theorem of Forelli for holomorphic mappings into complex spaces

81%
Mai P., Thai D., Thu L.
Annales Polonici Mathematici
|
2004
|
tom 83
|
nr 2
171-178
EN
Generalizations of the theorem of Forelli to holomorphic mappings into complex spaces are given.
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