7 citations · 18 across the 11 of their papers we have counts for
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The mixed Hodge-Riemann bilinear relations for compact Kahler manifolds
Tien-Cuong Dinh, Viet-Anh Nguyen
We prove the Hodge-Riemann bilinear relations, the hard Lefschetz theorem and the Lefschetz decomposition for compact Kahler manifolds in the mixed situation.
Regularization of currents and entropy
Tien-Cuong Dinh, Nessim Sibony
Let T be a positive closed (p,p)-current of mass 1 on a compact Kahler manifold X. Then, there exist a constant c, independent of T, and smooth positive closed (p,p)-currents Tn an…
On the commuting holomorphic endomorphisms of P^k
Tien-Cuong Dinh, Nessim Sibony
Let f_1, f_2 be holomorphic endomorphisms of P^k, of degrees d_1\geq 2, d_2\geq 2. Assume that f_1\circ f_2=f_2\circ f_1 and that d_1^{n_1}\not =d_2^{n_2} for all integers n_1, n_2…
Ensembles d'unicite pour les polynomes (Sets of Uniqueness for polynomials)
Tien-Cuong Dinh
Let E be a compact set of C of positive logarithmic capacity. Let us suppose that for every polynomial we have . Then for all no constant polynomials f…
Remark on the rational functions having the same Julia set
Tien-Cuong DINH
Let f and g two rational functions having the same Julia set J_f. Lets suppose that f has a rational indifferent periodic point and that the critical set of f is disjoint of J_f. T…
On the commuting polynomial endomorphisms of {C}^2
Tien-Cuong Dinh
We determine all couples of commuting polynomial endomorphisms of C^2 that extends to holomorphic endomorphisms of P^2 and that have disjoint sequences of iterates.