38 citations · 159 across the 39 of their papers we have counts for
43 papers
Rigid currents on compact hyperkahler manifolds
Nessim Sibony, Andrey Soldatenkov, Misha Verbitsky
A rigid cohomology class on a complex manifold is a class that is represented by a unique closed positive current. The positive current representing a rigid class is also called ri…
Pseudoconvex domains with smooth boundary in projective spaces
Nessim Sibony
Given a pseudoconvex domain U with C^1-boundary in P^n, n>2, we show that if H^{2n-2}_\dR}(U)\not=0, then there is a strictly psh function in a neighborhood of boundary U. We also…
Unique Ergodicity for foliations on compact Kähler surfaces
Tien-Cuong Dinh, Viet-Anh Nguyen, Nessim Sibony
Let \Fc be a holomorphic foliation by Riemann surfaces on a compact Kähler surface X. Assume it is generic in the sense that all the singularities are hyperbolic and that the folia…
Some open problems on holomorphic foliation theory
Tien-Cuong Dinh, Nessim Sibony
We present a list of open questions in the theory of holomorphic foliations, possibly with singularities. Some problems have been around for a while, others are very accessible.
The Second Main Theorem in the hyperbolic case
Min Ru, Nessim Sibony
We develop Nevanlinna's theory for a class of holomorphic maps when the source is a disc. Such maps appear in the theory of foliations by Riemann Surfaces.
Topology and complex structures of leaves of foliations by Riemann surfaces
Nessim Sibony, Erlend Fornæss Wold
We study conformal structure and topology of leaves of singular foliations by Riemann surfaces.