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 characterization of the analytic surfaces in that satisfy the local Phragmén-Lindelöf condition
We prove that an analytic surface in a neighborhood of the origin in satisfies the local Phragmén-Lindelöf condition at the origin if and only if satisfies the following two conditions: (1) is nearly hyperbolic; (2) for each real simple curve in and each , the (algebraic) limit variety satisfies the strong Phragmén-Lindelöf condition. These conditions are also necessary for any pure -dimensional analytic variety to satisify .
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 new necessary condition for analytic varieties satisfying the local Phragmén-Lindelöf condition
For an analytic variety V in ℂⁿ containing the origin which satisfies the local Phragmén-Lindelöf condition it is shown that for each real simple curve γ and each d ≥ 1 the limit variety satisfies the strong Phragmén-Lindelöf condition (SPL).
A new proof of a theorem of Grauert and Remmert by L2-Methods.
A note on a paper by Andreotti and Hill concerning the Hans Lewy problem
A Note on Coherent G-Sheaves.
A note on composition operators on spaces of real analytic functions
We characterize composition operators on spaces of real analytic functions which are open onto their images. We give an example of a semiproper map φ such that the associated composition operator is not open onto its image.
A note on the extension of analytic functions off real analytic subsets.
Let X be a closed analytic subset of an open subset Omega of Rn. We look at the problem of extending functions from X to Omega.
A pseudoconvex-pseudoconcave generalization of Grauert's direct image theorem
A Reduction Theorem for Cohomology Groups of Very Strongly q-convex Kähler Manifolds.
A Reflection Principle for Proper Holomorphic Mappings of Strongly Pseudoconvex Domains and Applications.
A relative embedding theorem for Stein spaces
A Remark on a Theorem by Fornaess and Narasimhan About the Levi Problem.
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 Riemann-Roch-Hirzebruch formula for traces of differential operators
Let be a holomorphic differential operator acting on sections of a holomorphic vector bundle on an -dimensional compact complex manifold. We prove a formula, conjectured by Feigin and Shoikhet, giving the Lefschetz number of as the integral over the manifold of a differential form. The class of this differential form is obtained via formal differential geometry from the canonical generator of the Hochschild cohomology of the algebra of differential operators on a formal neighbourhood of a...
A spanning set for the space of super cusp forms.
A special integral representation for a local residue.
A Strong Rigidity Theorem for a Certain Class of Compact Complex Analytic Surfaces.
A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of