A Barth-Type Theorem for Branched Coverings of Projective Space.
A logarithmic Dolbeault complex
A calculus for meromorphic currents.
A class of functions containing polyharmonic functions in ℝⁿ
Some properties of the functions of the form in ℝⁿ, n ≥ 2, where each is a harmonic function defined outside a compact set, are obtained using the harmonic measures.
A closure operation on complex analytic cones and torsion
A Cohomological Characterization of IPn.
A cohomological Steinness criterion for holomorphically spreadable complex spaces
Let be a complex space of dimension , not necessarily reduced, whose cohomology groups are of finite dimension (as complex vector spaces). We show that is Stein (resp., -convex) if, and only if, is holomorphically spreadable (resp., is holomorphically spreadable at infinity). This, on the one hand, generalizes a known characterization of Stein spaces due to Siu, Laufer, and Simha and, on the other hand, it provides a new criterion for -convexity.
A Comparison Theorem.
A cut-off theorem for plurisubharmonic currents.
A Differential Geometrie Criterion for Moishezon Spaces.
A directional compactification of the complex Bloch variety.
A Duality Theorem for Complex Manifolds.
A finiteness theorem for holomorphic Banach bundles
Let be a holomorphic Banach bundle over a compact complex manifold, which can be defined by a cocycle of holomorphic transition functions with values of the form where is compact. Assume that the characteristic fiber of has the compact approximation property. Let be the complex dimension of and . Then: If is a holomorphic vector bundle (of finite rank) with , then . In particular, if , then .
A Generalization of Schwarz Lemma.
A Geometric Algebraicity Property for Moduli Spaces of Compact Kähler Manifolds with h 2, 0 = 1.
A holomorphic representation formula for parabolic hyperspheres
A holomorphic representation formula for special parabolic hyperspheres is given.
A local Bernstein inequality on real algebraic varieties.
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 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 .