Đỗ Quôc Thái

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Don Ross

University College Cork

José Ferreira-Alves

Universidade do Minho

Giulia Sissa

Ucla

Hatice Kafadar

Abant Izzet Baysal University, Bolu, Turkey

Juraj Marušiak

Slovak Academy of Sciences

Sinisa Malesevic

University College Dublin

Kính Nguyễn Công

University of Danang

BẰNG ĐỖ TUẤN

Armando Marques-Guedes

UNL - New University of Lisbon

Gwen Robbins Schug

University of North Carolina at Greensboro

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Papers by Đỗ Quôc Thái

Universal service in Vietnam: An institutional approach

Telecommunications Policy, 2018

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Generalizations of the theorems of Cartan and Greene-Krantz to complex manifolds

Illinois Journal of Mathematics, 2004

In this article, some generalizations of the theorems of Cartan and Greene-Krantz for the family ... more In this article, some generalizations of the theorems of Cartan and Greene-Krantz for the family of biholomorphic mappings on (not necessary bounded) domains of a complex manifold are given. Moreover, a necessary and sufficient condition for strongly complete Chyperbolicity of domains in a complex manifold with compact quotients is obtained.

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Characterization of Domains in ℂn by their Noncompact Automorphism Groups

Nagoya Mathematical Journal, 2009

In this paper, the characterization of domains in ℂn by their noncompact automorphism groups are ... more

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Holomorphic mappings into compact complex manifolds

The purpose of this article is to show a second main theorem with the explicit truncation level f... more

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$Research paper thumbnail of Nevanlinna theory for meromorphic maps from a closed submanifold of $\mathbb{C}^l$ to a compact complex manifold$

Nevanlinna theory for meromorphic maps from a closed submanifold of $\mathbb{C}^l$ to a compact complex manifold

The purpose of this article is threefold. The first is to construct a Nevanlina theory for meromo... more The purpose of this article is threefold. The first is to construct a Nevanlina theory for meromorphic mappings from a polydisc to a compact complex manifold. In particular, we give a simple proof of Lemma on logarithmic derivative for nonzero meromorphic functions on $\mathbb{C}^l.$ The second is to improve the definition of the non-integrated defect relation of H. Fujimoto \cite{F2} and to show two theorems on the new non-integrated defect relation of meromorphic maps from a closed submanifold of $\mathbb{C}^l$ to a compact complex manifold. The third is to give a unicity theorem for meromorphic mappings from a Stein manifold to a compact complex manifold.

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Preface to the special issue: Proceedings of the conference on Geometrical Methods in Dynamics and Topology Hanoi 2011

Acta Mathematica Vietnamica

The conference GEDYTO was organized on the occasion of the 60th anniversary of Hanoi National Uni... more The conference GEDYTO was organized on the occasion of the 60th anniversary of Hanoi National University of Education. It gathered more than 50 mathematicians from 10 different countries, working on dynamics, topology, and symplectic geometry, in order to exchange ideas and explore interactions among these fields. Symplectic Geometry, Topology and Dynamics have enjoyed a along and fruitful relationship since at least the seventies, the formational period of Symplectic Geometry when its language was introduced. New tools and methods (pseudoholomorphic curves, Floer cohomology, etc.), and further developments and generalizations (modern Poisson geometry, contact geometry, etc.) have turned

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The Aging Males' Symptoms (AMS) scale: review of its methodological characteristics

Health and quality of life outcomes, Jan 15, 2003

The current paper reviews data from different sources to get a closer impression on the psychomet... more The current paper reviews data from different sources to get a closer impression on the psychometric and other methodological characteristics of the Aging Males' Symptoms (AMS) scale gathered recently. The scale was designed and standardized as self-administered scale to (a) to assess symptoms of aging (independent from those which are disease-related) between groups of males under different conditions, (b) to evaluate the severity of symptoms over time, and (c) to measure changes pre- and post androgen replacement therapy. The scale is in widespread use (14 languages). Original data from different studies in many countries were centrally analysed to evaluate reliability and validity of the AMS. Reliability measures (consistency and test-retest stability) were found to be good across countries, although the sample size was sometimes small. The internal structure of the AMS in healthy and androgen deficient males, and across countries was sufficiently similar to conclude that the...

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The Risk of Uterine and Ovarian Cancer for Different Formulations of Hormone Therapy (HT)

The Open Epidemiology Journal, 2008

Little has been published about the impact of different HT formulations or ways of administration... more Little has been published about the impact of different HT formulations or ways of administration on gynecological cancer risk. Two population-based case-control studies in collaboration with regional cancer registries and tumor centers in Germany were performed. Some 777 cases of ovarian cancer (OvC) and 1026 cases of uterine corpus cancer (UC) were compared with 3211 and 3668 matched controls for OvC and UC, respectively. The adjusted odds ratios for risk of cancer were 0.7 (0.6-0.9) and 0.8 (0.7-0.99) for OvC and UC for ever vs never use of HT. No clinically relevant trends for OvC and UC risk were observed with increasing duration of HT or with time since first/last use for ever or current use, in all and in postmenopausal women. Oral, transdermal, and other ways of HT administration were not associated with increased OvC or UC risk: nonsignificant adjusted ORs ranged between 0.6 and 1.3. Sequential and continuous-combined HT formulations showed reduced risk of OvC and UC, predominantly non-significant. This was similar for different types of estrogens and progestins. Combinations of CEE and MPA showed no other OvC/UC risk than combinations without CEE an MPA. In this study, HT use was not associated with an increased risk of OvC or UC and did not vary markedly among different HT formulations (estrogens, progestins, oral, and transdermal administration). However, small numbers and other limitations suggest cautious interpretation.

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On Some Classes of Hyperbolic Complex Spaces

We characterize the hyperbolicity of the following complex spaces in the sense of Kobayashi: comp... more

On the hyperbolicity and the Schottky property of complex spaces

Proceedings of the American Mathematical Society, 1994

The purpose of this paper is to study the hyperbolicity and the tautness of spaces that have the ... more

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On Kobayashi Hyperbolicity of Almost Complex Manifolds

Abstract and Applied Analysis, 2004

On hyperbolicity and tautness modulo an analytic subset of Hartogs domains

Proceedings of the American Mathematical Society, 2013

Let X X be a complex space and H H a positive homogeneous plurisubharmonic function H H on X × C ... more Let X X be a complex space and H H a positive homogeneous plurisubharmonic function H H on X × C m X\times \mathbb {C}^m . Consider the Hartogs-type domain Ω H ( X ) := { ( z , w ) ∈ X × C m : H ( z , w ) > 1 } \Omega _{H}(X):=\{(z,w)\in X\times \mathbb {C}^m:H(z,w)>1 \} . Let S S be an analytic subset of X X . We give necessary and sufficient conditions for hyperbolicity and tautness modulo S × C m S\times \mathbb {C}^m of Ω H ( X ) \Omega _{H}(X) , with the obvious corollaries for the special case of Hartogs domains.

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Complete hyperbolicity of Hartogs domain

manuscripta mathematica, 2003

Much attention has been given to the properties of the Hartogs domains from the viewpoint of hype... more

An Extension of the Cartan–Nochka Second Main Theorem for Hypersurfaces

International Journal of Mathematics, 2011

In 1983, Nochka proved a conjecture of Cartan on defects of holomorphic curves in ℂPn relative to... more In 1983, Nochka proved a conjecture of Cartan on defects of holomorphic curves in ℂPn relative to a possibly degenerate set of hyperplanes. In this paper, we generalize Nochka's theorem to the case of curves in a complex projective variety intersecting hypersurfaces in subgeneral position. Further work will be needed to determine the optimal notion of subgeneral position under which this result can hold, and to lower the effective truncation level which we achieved.

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D* extension property without hyperbolicity

Indiana University Mathematics Journal, 1998

We present an example of a complex manifold X-in fact, a pseudoconvex open set in C 2-such that X... more We present an example of a complex manifold X-in fact, a pseudoconvex open set in C 2-such that X is not Kobayashi-hyperbolic, but any holomorphic map from the punctured unit disk to X extends to a map from the whole unit disk to X. 0. Introduction. Let X be a complex manifold. We say that X has the D *-extension property (D *-EP) iff for any holomorphic map f from D * = {z ∈ C : 0 < |z| < 1} to X, there exists a mapf ∈ Hol(D,X) (where D = {z ∈ C : |z| < 1}) such thatf | D * = f. Kwack [4] and Thai [8] proved that in the case where X is compact, then the D *-EP is equivalent to hyperbolicity in the sense of Kobayashi, as well as in the sense of Brody (see precise definitions below). If X is not assumed to be compact, X = D * , f (z) = z provides an immediate example of a hyperbolic (indeed, complete hyperbolic) manifold which does not have the D *-EP. But if X has the D *-EP, then it must be Brody-hyperbolic [8]. The purpose of this note is to give an example of a complex manifold X (in fact, an open set in C 2) which has the D *-EP but is not Kobayashihyperbolic. Note that our example is pseudo-convex, and in fact any Riemann domain spread over C n having the D *-EP must be pseudo-convex. Whether an arbitrary complex manifold X having the D *-EP is also pseudoconvex, or verifies the Kontinuitätssatz, is an interesting open problem.

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Second main theorem with truncated counting function in several complex variables for moving targets

Forum Mathematicum, 2008

Abstract In this article, we show a truncated Second Main Theorem of meromorphic mappings from ℂ ... more

Families of Normal Maps in Several Complex Variables and Hyperbolicity of Complex Spaces

Complex Variables and Elliptic Equations, 2003

Page 1. Complex Variables, Vol. 48, No. 6, June 2003, pp. 469-482 ' < ^ \ Taylor & Fr... more

Colon cancer risk and different HRT formulations: a case-control study

BMC Cancer, 2007

Background Most studies have found no increased risk of colon cancer associated with hormone repl... more Background Most studies have found no increased risk of colon cancer associated with hormone replacement therapy (HRT), or even a decreased risk. But information about the effects of different HRT preparations is lacking. Methods A case-control study was performed within Germany in collaboration with regional cancer registries and tumor centers. Up to 5 controls were matched to each case of colon cancer. Conditional logistic regression analysis was applied to estimate crude and adjusted odds ratios (OR) and 95% confidence intervals (95% CI). Stratified analyses were performed to get an impression of the risk associated with different estrogens and progestins. Results A total of 354 cases of colon cancer were compared with 1422 matched controls. The adjusted overall risk estimate for colon cancer (ColC) associated with ever-use of HRT was 0.97 (0.71 – 1.32). No clinically relevant trends for ColC risk were observed with increasing duration of HRT use, or increasing time since first o...

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Normal families of meromorphic mappings of several complex variables into CPnfor moving hypersurfaces

Annales Polonici Mathematici, 2008

We prove some normality criteria for families of meromorphic mappings of a domain D ⊂ C m into CP... more

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Noguchi-type convergence-extension theorems for (n,d)-sets

Annales Polonici Mathematici, 2003

Noguchi-type convergence-extension theorems for (n, d)-sets by Do Duc Thai (Hanoi), Nguyen Thi Tu... more

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Universal service in Vietnam: An institutional approach

Telecommunications Policy, 2018

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Generalizations of the theorems of Cartan and Greene-Krantz to complex manifolds

Illinois Journal of Mathematics, 2004

Download

Characterization of Domains in ℂn by their Noncompact Automorphism Groups

Nagoya Mathematical Journal, 2009

In this paper, the characterization of domains in ℂn by their noncompact automorphism groups are ... more

Download

Holomorphic mappings into compact complex manifolds

The purpose of this article is to show a second main theorem with the explicit truncation level f... more

Download

$Research paper thumbnail of Nevanlinna theory for meromorphic maps from a closed submanifold of $\mathbb{C}^l$ to a compact complex manifold$

Nevanlinna theory for meromorphic maps from a closed submanifold of $\mathbb{C}^l$ to a compact complex manifold

Download

Preface to the special issue: Proceedings of the conference on Geometrical Methods in Dynamics and Topology Hanoi 2011

Acta Mathematica Vietnamica

Download

The Aging Males' Symptoms (AMS) scale: review of its methodological characteristics

Health and quality of life outcomes, Jan 15, 2003

Download

The Risk of Uterine and Ovarian Cancer for Different Formulations of Hormone Therapy (HT)

The Open Epidemiology Journal, 2008

Download

On Some Classes of Hyperbolic Complex Spaces

We characterize the hyperbolicity of the following complex spaces in the sense of Kobayashi: comp... more

On the hyperbolicity and the Schottky property of complex spaces

Proceedings of the American Mathematical Society, 1994

The purpose of this paper is to study the hyperbolicity and the tautness of spaces that have the ... more

Download

On Kobayashi Hyperbolicity of Almost Complex Manifolds

Abstract and Applied Analysis, 2004

On hyperbolicity and tautness modulo an analytic subset of Hartogs domains

Proceedings of the American Mathematical Society, 2013

Download

Complete hyperbolicity of Hartogs domain

manuscripta mathematica, 2003

Much attention has been given to the properties of the Hartogs domains from the viewpoint of hype... more

An Extension of the Cartan–Nochka Second Main Theorem for Hypersurfaces

International Journal of Mathematics, 2011

Download

D* extension property without hyperbolicity

Indiana University Mathematics Journal, 1998

Download

Second main theorem with truncated counting function in several complex variables for moving targets

Forum Mathematicum, 2008

Abstract In this article, we show a truncated Second Main Theorem of meromorphic mappings from ℂ ... more

Families of Normal Maps in Several Complex Variables and Hyperbolicity of Complex Spaces

Complex Variables and Elliptic Equations, 2003

Page 1. Complex Variables, Vol. 48, No. 6, June 2003, pp. 469-482 ' < ^ \ Taylor & Fr... more

Colon cancer risk and different HRT formulations: a case-control study

BMC Cancer, 2007

Download

Normal families of meromorphic mappings of several complex variables into CPnfor moving hypersurfaces

Annales Polonici Mathematici, 2008

We prove some normality criteria for families of meromorphic mappings of a domain D ⊂ C m into CP... more

Download

Noguchi-type convergence-extension theorems for (n,d)-sets

Annales Polonici Mathematici, 2003

Noguchi-type convergence-extension theorems for (n, d)-sets by Do Duc Thai (Hanoi), Nguyen Thi Tu... more

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