Ein Verschwindungssatz für gewisse Kohomologiegruppen in Umgebung kompakter komplexer Unterräume mit konvex-konkavem Normalenbündel.
Embeddability of real analytic Cauchy-Riemann manifolds
Embedding Moishezon Spaces Into 1-Convex Spaces.
Embedding theorems and Kahlerity for 1-convex spaces.
Endlichkeits- und Verschwindungssätze für (schwach-) konstruierbare Garbenkomplexe auf komplexen Räumen.
Extending Families of Pseudoconcave Complex Spaces.
Extension of -forms and related problems
Fibrati principali su spazi complessi -completi
Fields of CR meromorphic functions
Finiteness and separation theorems for Dolbeault cohomologies with support conditions
Formule d'homotopie pour un domaine à bord (q+k)-concave d'une variété CR générique et q-concave. Applications
We give a homotopy formula for the operator on a domain with (q+k)-concave boundary. As a consequence we show that the dimension of the -cohomology groups for some CR manifolds q-concave at infinity is finite.
Funtorialità di una classe di domini -Runge
Generically strongly -convex complex manifolds
Suppose is a real analytic plurisubharmonic exhaustion function on a connected noncompact complex manifold . The main result is that if the real analytic set of points at which is not strongly -convex is of dimension at most , then almost every sufficiently large sublevel of is strongly -convex as a complex manifold. For of dimension , this is a special case of a theorem of Diederich and Ohsawa. A version for real analytic with corners is also obtained.
Hartogs type extension theorems on some domains in Kähler manifolds
Given a locally pseudoconvex bounded domain Ω, in a complex manifold M, the Hartogs type extension theorem is said to hold on Ω if there exists an arbitrarily large compact subset K of Ω such that every holomorphic function on Ω-K is extendible to a holomorphic function on Ω. It will be reported, based on still unpublished papers of the author, that the Hartogs type extension theorem holds in the following two cases: 1) M is Kähler and ∂Ω is C²-smooth and not Levi flat; 2) M is compact Kähler and...
Hodge Spectral Sequence on Pseudoconvex Domains.
Holomorphic convexity of spaces of analytic cycles
Holomorphic q-hulls in top degrees.
Homotopie in homogenen komplexen Mannigfaltigkeiten.
How to prove Fefferman's theorem without use of differential geometry
Inégalités de Morse pour la -cohomologie sur une variété holomorphe non compacte