Tuyen T. T. Truong

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Little is known about the behaviour of the Oka property of a complex manifold with respect to blowing up a submanifold. A manifold is of Class A if it is the complement of an algebraic subvariety of codimension at least 2 in an algebraic manifold that is Zariski-locally isomorphic to C. A manifold of Class A is algebraically subelliptic and hence Oka, and a(More)
We prove existence and uniform bounds for critical static KleinGordon-Maxwell-Proca systems in the case of 4-dimensional closed Riemannian manifolds. Static Klein-Gordon-Maxwell-Proca systems are massive versions of the electrostatic Klein-Gordon-Maxwell Systems. The vector field in these systems inherits a mass and is governed by the Proca action which(More)
Let K be an algebraically closed field, X a smooth projective variety over K and f : X → X a dominant regular morphism. Let N (X) be the group of algebraic cycles modulo numerical equivalence. Let χ(f) be the spectral radius of the pullback f∗ : H∗(X,Ql) → H ∗(X,Ql) on l-adic cohomology groups, and λ(f) the spectral radius of the pullback f∗ : N∗(X) →(More)
For a q × q matrix x = (xi,j) we let J(x) = (x −1 i,j ) be the Hadamard inverse, which takes the reciprocal of the elements of x. We let I(x) = (xi,j) −1 denote the matrix inverse, and we define K = I ◦J to be the birational map obtained from the composition of these two involutions. We consider the iteratesK = K◦· · ·◦K and determine degree complexity of(More)
We obtain some two-bound estimates for the local growth of plurisubharmonic functions. We propose a conjecture which is similar to the comparison theorem in [H. Alexander and B. A. Taylor, Comparison of two capacities in Cn, Math. Z. 186 (1984), 407–417]. We verify this conjecture in several cases. We then show that this conjecture implies extensions of the(More)
In this paper we define the notion of non-thin at ∞ as follows: Let E be a subset of Cm. For any R > 0 define ER = E ∩ {z ∈ C m : |z| ≤ R}. We say that E is non-thin at ∞ if lim R→∞ VER (z) = 0 for all z ∈ Cm, where VE is the pluricomplex Green function of E. This definition of non-thinness at ∞ has good properties: If E ⊂ Cm is non-thin at ∞ and A is(More)
We continue the work of [14]. Let E be a non-Blaschke subset of the unit disc D of the complex plane C. Fixed 1 ≤ p ≤ ∞, let Hp(D) be the Hardy space of holomorphic functions in the disk whose boundary value function is in Lp(∂D). Fixed 0 < R < 1. For ǫ > 0 define Cp(ε,R) = sup{ sup |z|≤R |g(z)| : g ∈ H, ‖g‖p ≤ 1, |g(ζ)| ≤ ε ∀ζ ∈ E}. In this paper we find(More)
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