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math.CV2004★ 1 cited
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…
math.CV2004★ 1 cited
Harmonic Currents of Finite Energy and Laminations
John-Erik Fornaess, Nessim Sibony
We introduce, on a complex Kahler manifold (M,ω), a notion of energy for harmonic currents of bidegree (1,1). This allows us to define for positiv…
math.CV2000
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…