A calculus for meromorphic currents.
A cut-off theorem for plurisubharmonic currents.
A local Martinelli-Bochner formula on hypersurfaces.
A Nakai-Moishezon criterion for non-Kähler surfaces
A version of the classical Nakai-Moishezon criterion is proved for all compact complex surfaces, regardless of the parity of the first Betti number.
A new division formula for complete intersections
We provide a new division formula for holomorphic mappings. It is given in terms of residue currents and has the advantage of being more explicit and simpler to prove than the previously known formulas.
A remark on Nilsson type integrals
We investigate ramification properties with respect to parameters of integrals (distributions) of a class of singular functions over an unbounded cycle which may intersect the singularities of the integrand. We generalize the classical result of Nilsson dealing with the case where the cycle is bounded and contained in the set of holomorphy of the integrand. Such problems arise naturally in the study of exponential representation at infinity of solutions to certain PDE's (see [Z]).
A special integral representation for a local residue.
Ahlfors’ currents in higher dimension
We consider a nondegenerate holomorphic map where is a compact Hermitian manifold of dimension larger than or equal to and is an open connected complex manifold of dimension . In this article we give criteria which permit to construct Ahlfors’ currents in .
Analytic Continuation of Currents and Division Problems.
Analytic functionals annihilated by ideals.
Analyticity theorems for parameter-dependent currents.
Asymptotique des intégrales-fibres